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Keywords = Vaidya collapse

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13 pages, 2464 KB  
Article
Anisotropy Induced by Electric Charge: A Computational Analytical Approach
by Franyelit Suárez-Carreño and Luis Rosales-Romero
Physics 2024, 6(2), 780-792; https://doi.org/10.3390/physics6020048 - 16 May 2024
Viewed by 1371
Abstract
This paper presents a novel class of interior solutions for anisotropic stars under the imposition of a self-similar symmetry. This means proposing exact solutions to the Einstein field equations to describe charged matter distribution with radiation flow. The Einstein–Maxwell system by employing specific [...] Read more.
This paper presents a novel class of interior solutions for anisotropic stars under the imposition of a self-similar symmetry. This means proposing exact solutions to the Einstein field equations to describe charged matter distribution with radiation flow. The Einstein–Maxwell system by employing specific choices of mass function is formulated to describe the gravitational collapse of charged, anisotropic, spherically symmetric distributions using the Schwarzschild metric. Two ordinary differential equations governing the dynamics are derived by matching a straightforward solution of the symmetry equations to the charged exterior (Reissner–Nordström–Vaidya). Models with satisfactory physical behavior are constructed by extensively exploring self-similar solutions for a set of parameters and initial conditions. Finally, the paper presents the evolution of physical variables and the collapsing radius, demonstrating the inevitable collapse of the matter distribution. Full article
(This article belongs to the Section Astrophysics, Astronomy and Planetology)
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12 pages, 253 KB  
Communication
The Negative Energy in Generalized Vaidya Spacetime
by Vitalii Vertogradov
Universe 2020, 6(9), 155; https://doi.org/10.3390/universe6090155 - 22 Sep 2020
Cited by 11 | Viewed by 2434
Abstract
In this paper we consider the negative energy problem in generalized Vaidya spacetime. We consider several models where we have the naked singularity as a result of the gravitational collapse. In these models we investigate the geodesics for particles with negative energy when [...] Read more.
In this paper we consider the negative energy problem in generalized Vaidya spacetime. We consider several models where we have the naked singularity as a result of the gravitational collapse. In these models we investigate the geodesics for particles with negative energy when the II type of the matter field satisfies the equation of the state P=αρ (α[0,1]). Full article
8 pages, 329 KB  
Article
Vaidya Collapse with Nonzero Radial Pressure and Charge
by Aroonkumar Beesham
Axioms 2020, 9(2), 52; https://doi.org/10.3390/axioms9020052 - 13 May 2020
Cited by 2 | Viewed by 2836
Abstract
The cosmic censorship hypothesis is regarded as one of the most important unsolved problems in classical general relativity; viz., will generic gravitational collapse of a star after it has exhausted its nuclear fuel lead to black holes only, under reasonable physical conditions. We [...] Read more.
The cosmic censorship hypothesis is regarded as one of the most important unsolved problems in classical general relativity; viz., will generic gravitational collapse of a star after it has exhausted its nuclear fuel lead to black holes only, under reasonable physical conditions. We discuss the collapse of a fluid with nonzero radial pressure within the context of the Vaidya spacetime considering a decaying cosmological parameter as well as nonzero charge. Previously, a similar analysis was done, but without considering charge. A decaying cosmological parameter may also be associated with dark energy. We found that both black holes and naked singularities can form, depending upon the initial conditions. Hence, charge does not restore the validity of the hypothesis. This provides another example of the violation of the cosmic censorship hypothesis. We also discuss some radiating rotating solutions, arriving at the same conclusion. Full article
(This article belongs to the Special Issue Theory and Mathematical Aspects of Black Holes)
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