Mathematical Aspects of Black Holes in General Relativity and Beyond
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Hilbert’s Sixth Problem".
Deadline for manuscript submissions: 28 November 2025 | Viewed by 70
Special Issue Editor
Interests: general relativity; gravitation; black hole physics; relativistic astrophysics; black hole perturbation theory; black hole thermodynamics; modified gravity; quasinormal modes of black holes; cosmology
Special Issue Information
Dear Colleagues,
A valid gravitational theory for explaining black hole physics and cosmology should be compatible with the existing observational data from black holes and cosmos. Although Einstein’s gravity, which was built on a rigorous geometric structure, describes the current epoch of the universe quite well, it suffers some defects in describing the galaxy rotation curves, accelerated expansion of the universe, and Hubble tension, among others. On the other hand, the curvature singularity located at the center of the black holes remains a crucial and outstanding problem in Einstein’s theory of relativity.
In order to overcome the aforementioned shortcomings to describe black hole physics and the cosmos in a complete way, one can attempt to develop gravitational theories beyond general relativity or consider various matter fields through advanced tensor analysis and spacetime symmetries.
This Special Issue is dedicated to the deep mathematical aspects of black holes and cosmology in Einstein’s gravity, coupled with various matter sources and modified theories of gravitation involving nonlinear differential equations and topological invariants. This Special Issue covers the original contributions in modified gravity, black hole and wormhole solutions with singular hypersurfaces, black hole perturbation theory, quasinormal modes linked to spectral theory, advanced mathematics in relativistic astrophysics, accretion disks, relativistic kinetic theory, nonlinear electrodynamics embedded in gauge field frameworks, black hole thermodynamics, geometrical thermodynamics with manifold embeddings, quantum corrected black holes, AdS/CFT correspondence bridging conformal field theories, and gravitational waves analyzed through harmonic oscillators, but is not limited to these research fields.
Dr. Mehrab Momennia
Guest Editor
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Keywords
- gravitational waves
- modified gravity models
- AdS/CFT correspondence
- nonlinear electrodynamics
- black hole thermodynamics
- geometrical thermodynamics
- quantum-corrected black holes
- black hole and wormhole solutions
- relativistic astrophysics and accretion disks
- relativistic kinetic theory on curved spacetime
- black hole perturbation theory and quasinormal modes
- metric tensor
- geodesic equations
- Einstein’s field equations and beyond
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