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80 Results Found

  • Article
  • Open Access
587 Views
14 Pages

19 June 2025

We study the charged black-hole solutions of a 2 + 1 nonlinear electrodynamical theory with a cosmological constant. Considered as a one-parameter group of theories (the exponent of the squared Maxwell tensor), the causal structure of all possible bl...

  • Article
  • Open Access
1 Citations
3,079 Views
23 Pages

Gravitational and Electromagnetic Perturbations of a Charged Black Hole in a General Gauge Condition

  • Claudia Moreno,
  • Juan Carlos Degollado,
  • Darío Núñez and
  • Carlos Rodríguez-Leal

25 March 2021

We derive a set of coupled equations for the gravitational and electromagnetic perturbation in the Reissner–Nordström geometry using the Newman–Penrose formalism. We show that the information of the physical gravitational signal is contained in the W...

  • Article
  • Open Access
14 Citations
4,015 Views
28 Pages

25 September 2021

Ringdown gravitational waves of compact object binaries observed by ground-based gravitational-wave detectors encapsulate rich information to understand remnant objects after the merger and to test general relativity in the strong field. In this work...

  • Article
  • Open Access
2 Citations
2,438 Views
16 Pages

Scalar Perturbations of Black Holes in the f(R)=R2αR Model

  • Ping Li,
  • Rui Jiang,
  • Jian Lv and
  • Xianghua Zhai

12 January 2022

In this paper, we study the perturbations of the charged static spherically symmetric black holes in the f(R)=R−2αR model by a scalar field. We analyze the quasinormal modes spectrum, superradiant modes, and superradiant instability of th...

  • Article
  • Open Access
4 Citations
2,760 Views
18 Pages

Perturbations of the Gravitational Energy in the TEGR: Quasinormal Modes of the Schwarzschild Black Hole

  • José Wadih Maluf,
  • Sérgio Ulhoa,
  • Fernando Lessa Carneiro and
  • Karlúcio H. C. Castello-Branco

14 April 2021

We calculate the gravitational energy spectrum of the perturbations of a Schwarzschild black hole described by quasinormal modes, in the framework of the teleparallel equivalent of general relativity (TEGR). We obtain a general formula for the gravit...

  • Article
  • Open Access
7 Citations
1,908 Views
113 Pages

18 September 2024

In a seminal work, Hawking showed that natural states for free quantum matter fields on classical spacetimes that solve the spherically symmetric vacuum Einstein equations are KMS states of non-vanishing temperature. Although Hawking’s calculat...

  • Communication
  • Open Access
13 Citations
2,823 Views
11 Pages

22 March 2023

A simple phenomenological fit for the power spectrum of scalar (curvature) perturbations during inflation is proposed to analytically describe slow roll of inflaton and formation of primordial black holes (PBH) in the early universe, in the framework...

  • Article
  • Open Access
1 Citations
1,323 Views
14 Pages

Gravitational Waves from Black Hole Emission

  • Tousif Islam,
  • Gaurav Khanna and
  • Steven L. Liebling

14 January 2025

Using adiabatic point-particle black hole perturbation theory, we simulate plausible gravitational wave (GW) signatures in two exotic scenarios (i) where a small black hole is emitted by a larger one (‘black hole emission’) and (ii) where...

  • Article
  • Open Access
394 Views
17 Pages

Quasinormal Modes for Charged Lifshitz Black Holes with Scalar Hair

  • Xufen Zhang,
  • Shan Wu,
  • Rui-Hong Yue,
  • De-Cheng Zou and
  • Ming Zhang

13 September 2025

In this paper, we investigate massive charged scalar perturbations in four-dimensional charged Lifshitz–AdS black holes with scalar hair within the framework of Einstein–Maxwell–Dilaton (EMD) gravity. Using the improved asymptotic i...

  • Article
  • Open Access
18 Citations
4,454 Views
14 Pages

24 March 2020

We compute the quasinormal frequencies for scalar perturbations of charged black holes in five-dimensional Einstein-power-Maxwell theory. The impact on the spectrum of the electric charge of the black holes, of the angular degree, of the overtone num...

  • Article
  • Open Access
4 Citations
2,217 Views
32 Pages

7 November 2023

We explore the duality invariance of the Maxwell and linearized Einstein–Hilbert actions on a non-rotating black hole background. On-shell, these symmetries are electric–magnetic duality and Chandrasekhar duality, respectively. Off-shell,...

  • Article
  • Open Access
1,944 Views
10 Pages

9 January 2024

Past studies have empirically demonstrated a surprising agreement between gravitational waveforms computed using adiabatic–driven–inspiral point–particle black hole perturbation theory (ppBHPT) and numerical relativity (NR) followin...

  • Article
  • Open Access
4 Citations
2,525 Views
26 Pages

Uniform Asymptotic Approximation Method with Pöschl–Teller Potential

  • Rui Pan,
  • John Joseph Marchetta,
  • Jamal Saeed,
  • Gerald Cleaver,
  • Bao-Fei Li,
  • Anzhong Wang and
  • Tao Zhu

31 October 2023

In this paper, we study analytical approximate solutions for second-order homogeneous differential equations with the existence of only two turning points (but without poles) by using the uniform asymptotic approximation (UAA) method. To be more conc...

  • Article
  • Open Access
9 Citations
2,971 Views
8 Pages

3 August 2019

Although the Asymptotic Safety scenario is one of the most promising approaches to quantum gravity, little attention has been devoted to the issue of the vacuum state. Higher derivative operators often appear on the ultraviolet critical surface aroun...

  • Article
  • Open Access
3 Citations
1,823 Views
18 Pages

Motion of Particles around Time Conformal Dilaton Black Holes

  • Muhammad Umair Shahzad,
  • Hamood Ur Rehman,
  • Aziz Ullah Awan,
  • ElSayed M. Tag-ElDin and
  • Attiq Ur Rehman

28 September 2022

In this paper, the geodesic motion of neutral and test particles around the time conformal (TC) Dilaton black hole (BH) is investigated using the eϵg(t) as the time conformal factor in which g(t) is an arbitrary function of time and ϵ is...

  • Article
  • Open Access
1 Citations
550 Views
16 Pages

Dynamical Black Holes and Accretion-Induced Backreaction

  • Thiago de L. Campos,
  • C. Molina and
  • Mario C. Baldiotti

20 June 2025

We investigate the evolution of future trapping horizons through the dynamics of the Misner–Sharp mass using ingoing Eddington–Finkelstein coordinates. Our analysis shows that an integral formulation of Hayward’s first law governs m...

  • Feature Paper
  • Review
  • Open Access
3 Citations
3,342 Views
11 Pages

Rotating Disc around a Schwarzschild Black Hole

  • Oldřich Semerák and
  • Pavel Čížek

3 February 2020

A stationary and axisymmetric (in fact circular) metric is reviewed which describes the first-order perturbation of a Schwarzschild black-hole space-time due to a rotating finite thin disc encircling the hole symmetrically. The key Green functions of...

  • Article
  • Open Access
2 Citations
1,590 Views
15 Pages

9 February 2023

This manuscript reports the dynamics of a time-conformal quantum-corrected AdS–Schwarzschild black hole. The quantum-corrected parameter and the time-conformal factors are inserted in the AdS–Schwarzschild black. These insertions in the s...

  • Article
  • Open Access
1,140 Views
41 Pages

7 November 2024

This article provides a comparison of the gauge-invariant formulation for l=0,1-mode perturbations on the Schwarzschild background spacetime, proposed by the same author in 2021, and a “conventional complete gauge-fixing approach” where t...

  • Article
  • Open Access
2 Citations
957 Views
12 Pages

Some Addition Theorems for Spin-Weighted Spherical Harmonics

  • Alessandro Monteverdi and
  • Elizabeth Winstanley

19 December 2024

We present some addition theorems for spin-weighted spherical harmonics, generalizing previous results for scalar (spin-zero) spherical harmonics. These addition theorems involve sums over the azimuthal quantum number of products of two spin-weighted...

  • Article
  • Open Access
6 Citations
2,117 Views
42 Pages

6 February 2025

This is the Part III paper of our series of papers on a gauge-invariant perturbation theory on the Schwarzschild background spacetime. After reviewing our general framework for the gauge-invariant perturbation theory and the proposal for gauge-invari...

  • Article
  • Open Access
5 Citations
968 Views
62 Pages

26 January 2025

This article is Part I of our series of full papers on a gauge-invariant “linear” perturbation theory on the Schwarzschild background spacetime which was briefly reported in our short papers by the present author in 2021. We first review...

  • Article
  • Open Access
5 Citations
1,150 Views
34 Pages

27 January 2025

This is the Part II paper of our series of papers on a gauge-invariant perturbation theory on the Schwarzschild background spacetime. After reviewing our general framework of the gauge-invariant perturbation theory and the proposal of gauge-invariant...

  • Article
  • Open Access
41 Citations
3,351 Views
19 Pages

With the advent of gravitational wave astronomy and first pictures of the “shadow” of the central black hole of our milky way, theoretical analyses of black holes (and compact objects mimicking them sufficiently closely) have become more important th...

  • Article
  • Open Access
2 Citations
2,026 Views
13 Pages

11 April 2024

A hot NUT–Kerr–Newman black hole is a general stationary axisymmetric black hole. In this black hole spacetime, the dynamical equations of fermions at the horizon are modified by considering Lorentz breaking. The corrections to the Hawkin...

  • Article
  • Open Access
357 Views
12 Pages

15 October 2025

In this paper, we consider massless scalar perturbations minimally coupled to gravity in the background spacetime of charged black holes in Yang–Mills theory with gravity’s rainbow modification. We calculate the corresponding quasinormal...

  • Article
  • Open Access
3 Citations
2,031 Views
18 Pages

9 October 2021

With the vast breakthrough brought by the Event Horizon Telescope, the theoretical analysis of various black holes has become more critical than ever. In this paper, the second-order asymptotic analytical solution of the charged dilaton black hole fl...

  • Article
  • Open Access
16 Citations
1,790 Views
22 Pages

2 November 2021

A Regge–Wheeler analysis is performed for a novel black hole mimicker ‘the regular black hole with asymptotically Minkowski core’, followed by an approximation of the permitted quasi-normal modes for propagating waveforms. A first-order WKB approxima...

  • Article
  • Open Access
1 Citations
2,155 Views
18 Pages

17 November 2020

Extremal cosmological black holes are analysed in the framework of the most general second order scalar-tensor theory, the so-called Horndeski gravity. Such extremal black holes are a particular case of Schwarzschild-De Sitter black holes that arises...

  • Article
  • Open Access
42 Citations
5,463 Views
12 Pages

In this paper, we study under which conditions the Reissner–Nordström anti-de Sitter black hole can be a solution of the vacuum mimetic F ( R ) gravity with Lagrange multiplier and mimetic scalar potential. As the author demonstrates, the res...

  • Article
  • Open Access
1 Citations
2,052 Views
25 Pages

17 November 2022

Black hole horizons interact with external fields when matter or energy falls through them. Such non-stationary black hole horizons can be described using viscous fluid equations. This work attempts to describe this process using effective field theo...

  • Article
  • Open Access
8 Citations
3,501 Views
10 Pages

Quantum Complexity and Chaos in Young Black Holes

  • Alexander Y. Yosifov and
  • Lachezar G. Filipov

We argue that the problem of calculating retention time scales in young black holes is a problem of relative state complexity. In particular, we suggest that Alice’s ability to estimate the time scale for a perturbed black hole to release the e...

  • Article
  • Open Access
3 Citations
2,422 Views
16 Pages

Formation and Clustering of Primordial Black Holes in Brans-Dicke Theory

  • Victor Berezin,
  • Vyacheslav Dokuchaev,
  • Yury Eroshenko and
  • Alexey Smirnov

24 September 2020

The formation of primordial black holes in the early universe in the Brans-Dicke scalar-tensor theory of gravity is investigated. Corrections to the threshold value of density perturbations are found. Above the threshold, the gravitational collapse o...

  • Article
  • Open Access
15 Citations
2,796 Views
21 Pages

Back-Reaction in Canonical Analogue Black Holes

  • Stefano Liberati,
  • Giovanni Tricella and
  • Andrea Trombettoni

11 December 2020

We study the back-reaction associated with Hawking evaporation of an acoustic canonical analogue black hole in a Bose–Einstein condensate. We show that the emission of Hawking radiation induces a local back-reaction on the condensate, perturbin...

  • Article
  • Open Access
34 Citations
3,356 Views
9 Pages

On the Inner Horizon Instability of Non-Singular Black Holes

  • Francesco Di Filippo,
  • Raúl Carballo-Rubio,
  • Stefano Liberati,
  • Costantino Pacilio and
  • Matt Visser

25 March 2022

Regular black holes represent a conservative model in which the classical singularity is replaced by a non-singular core without necessarily modifying the spacetime outside the trapping horizon. Given the possible lack of phenomenological signatures,...

  • Article
  • Open Access
633 Views
17 Pages

9 September 2025

One extension of general relativity, known as f(R) gravity, where R denotes the Ricci scalar, is regarded as a promising candidate for addressing the anomalies observed in conventional general relativity. In this work, we apply the field equations of...

  • Article
  • Open Access
1,720 Views
10 Pages

9 October 2022

Based on the perturbation expansion, we compute the noncommutative corrections to the minimal surface areas of the pure AdS spacetime and Schwarzschild-AdS black hole, where the noncommutative background is suitably constructed in terms of the Poinca...

  • Article
  • Open Access
1 Citations
925 Views
13 Pages

25 August 2025

The Lorentz-breaking theory not only modifies the geometric structure of curved spacetime but also significantly alters the quantum dynamics of bosonic and fermionic fields in black hole spacetime, leading to observable physical effects on Hawking te...

  • Article
  • Open Access
7 Citations
2,338 Views
17 Pages

Matter Accretion Versus Semiclassical Bounce in Schwarzschild Interior

  • Kirill Bronnikov,
  • Sergey Bolokhov and
  • Milena Skvortsova

14 October 2020

We discuss the properties of the previously constructed model of a Schwarzschild black hole interior where the singularity is replaced by a regular bounce, ultimately leading to a white hole. We assume that the black hole is young enough so that the...

  • Article
  • Open Access
15 Citations
1,374 Views
12 Pages

4 September 2024

A modified gravity model of Starobinsky inflation and primordial black hole production is proposed in good (within 1σ) agreement with current measurements of the cosmic microwave background radiation. The model is an extension of the singularit...

  • Article
  • Open Access
33 Citations
2,387 Views
13 Pages

24 March 2023

Assuming that the common-spectrum process in the NANOGrav 12.5-year dataset has an origin of scalar-induced gravitational waves, we study the enhancement of primordial curvature perturbations and the mass function of primordial black holes, by perfor...

  • Abstract
  • Open Access
1,490 Views
1 Page

Killing vector fields can be used as gauge vector potentials since the associated electromagnetic field tensor automatically satisfies the source-free Maxwell’s equations in vacuum spacetimes. This fact enabled Wald to find the form of the electromag...

  • Article
  • Open Access
4 Citations
1,909 Views
15 Pages

Based on the five-dimensional Einstein–Maxwell theory, Bah et al. constructed a singularity-free topology star/black hole [Phys. Rev. Lett. 126, 151101 (2021)]. After performing the Kaluza–Klein reduction, i.e., integrating the extra spac...

  • Review
  • Open Access
35 Citations
4,363 Views
57 Pages

4 December 2021

This is an unconventional review article on spectral problems in black hole perturbation theory. Our purpose is to explain how to apply various known techniques in quantum mechanics to such spectral problems. The article includes analytical/numerical...

  • Article
  • Open Access
4 Citations
1,705 Views
18 Pages

On the Five-Dimensional Non-Extremal Reissner–Nordström Black Hole: Retractions and Scalar Quasibound States

  • Mohammed Abu-Saleem,
  • Horacio Santana Vieira and
  • Luiz Henrique Campos Borges

19 June 2024

In this paper, we examine the role played by topology, and some specific boundary conditions as well, on the physics of a higher-dimensional black hole. We analyze the line element of a five-dimensional non-extremal Reissner–Nordström blac...

  • Review
  • Open Access
24 Citations
2,981 Views
22 Pages

16 September 2023

We review the nonlinear statistics of Primordial Black Holes that form from the collapse of over-densities in a radiation-dominated Universe. We focus on the scenario in which large over-densities are generated by rare and Gaussian curvature perturba...

  • Feature Paper
  • Article
  • Open Access
25 Citations
6,802 Views
8 Pages

Polarization and Spectral Energy Distribution in OJ 287 during the 2016/17 Outbursts

  • Mauri Valtonen,
  • Stanislaw Zola,
  • Helen Jermak,
  • Stefano Ciprini,
  • Rene Hudec,
  • Lankeswar Dey,
  • Achamveedu Gopakumar,
  • Daniel L. Reichart,
  • Daniel B. Caton and
  • Kosmas Gazeas
  • + 32 authors

20 November 2017

We report optical photometric and polarimetric observations of the blazar OJ 287 gathered during 2016/17. The high level of activity, noticed after the General Relativity Centenary flare, is argued to be part of the follow-up flares that exhibited hi...

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