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We calculate the gravitational perturbations produced by a small mass in eccentric orbit about a much more massive Schwarzschild black hole and use the numerically computed perturbations to solve for the metric. The calculations are…

General Relativity and Quantum Cosmology · Physics 2010-11-23 Seth Hopper , Charles R. Evans

We analyze the structural and thermodynamic properties of $D$-dimensional ($D \geq 4$), asymptotically flat or Anti-de-Sitter, electrically charged black hole solutions, resulting from the minimal coupling of general nonlinear…

General Relativity and Quantum Cosmology · Physics 2019-04-24 H. Benbellout , J. Diaz-Alonso , D. Rubiera-Garcia

In this paper, we derive exact black hole solutions within the framework of fourth-order quasitopological gravity (4QTG) coupled to power-law Maxwell electrodynamics in five-dimensional spacetimes. We explore the thermodynamic properties of…

General Relativity and Quantum Cosmology · Physics 2025-03-31 A. Bazrafshan , M. Ghanaatian , P. Mirsalari , Gh. Forozani

This work investigates black holes within a modified framework of gravity that incorporates quantum-inspired corrections and a fundamental minimal length scale. By integrating Einstein-Gauss-Bonnet gravity with a specially tailored matter…

General Relativity and Quantum Cosmology · Physics 2025-09-23 A. Errehymy , Y. Khedif , M. Daoud , K. Myrzakulov , B. Turimov , T. Myrzakul

Exploring the characterization of singular black hole spacetimes, we study the relation between energy density, curvature invariants, and geodesic completeness using a quadratic $f(R)$ gravity theory coupled to an anisotropic fluid. Working…

High Energy Physics - Theory · Physics 2017-04-05 Cecilia Bejarano , Gonzalo J. Olmo , Diego Rubiera-Garcia

We study axial gravitational perturbations of the asymptotically flat Bardeen spacetime interpreted as a string-T-duality-inspired quantum-corrected Schwarzschild black hole. Starting from the anisotropic-fluid background, we derive the…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Bekir Can Lütfüoğlu , Javlon Rayimbaev , Sardor Murodov , Jakhongir Kurbanov , Muhammad Matyoqubov

The nature of black holes (BHs) and their potential deviations from classical General Relativity (GR) remain central questions in modern astrophysics. Nonlinear electrodynamics (NED) offers a promising mechanism to construct regular BHs…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Javokhir Sharipov , Mirzabek Alloqulov , Pankaj Sheoran , Sanjar Shaymatov

The hypersurface deformation algebra consists in a fruitful approach to derive deformed solutions of general relativity based on symmetry considerations with quantum gravity effects, whose linearization has been recently demonstrated to be…

General Relativity and Quantum Cosmology · Physics 2018-12-06 Iarley P. Lobo , Michele Ronco

We investigate the quasinormal modes of a massless scalar field in a Schwarzschild black hole, which is deformed due to noncommutative corrections. We introduce the deformed Schwarzschild black hole solution, which depends on the…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Y. Zhao , Yifu Cai , S. Das , G. Lambiase , E. N. Saridakis , E. C. Vagenas

We study gravitational perturbations of electrically charged black holes in (3+1)-dimensional Einstein-Born-Infeld gravity with a positive cosmological constant. For the axial perturbations, we obtain a set of decoupled Schrodinger-type…

High Energy Physics - Theory · Physics 2020-08-24 Chong Oh Lee , Jin Young Kim , Mu-In Park

We develop a class of regular black holes by prescribing finite curvature invariants and reconstructing the corresponding spacetime geometry. Two distinct approaches are employed: one based on the Ricci scalar and the other on the Weyl…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Chen Lan , Zhen-Xiao Zhang , Hao Yang

We analyze the horizon and geodesic structure of a class of 4D off--diagonal metrics with deformed spherical symmetries, which are exact solutions of the vacuum Einstein equations with anholonomic variables. The maximal analytic extension…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sergiu Vacaru

We utilize the gravitational decoupling via the extended geometric deformation to extend the Schwarzschild vacuum solution to new black holes in Rastall theory. By employing linear transformations that deform both the temporal and radial…

General Relativity and Quantum Cosmology · Physics 2025-04-08 M. Sharif , Malick Sallah

The Deser-Woodard gravity is a modified theory of gravity in which nonlocality plays a central role. In this context, nonlocality is a consequence of the inverse of the d'Alembertian operator $\square^{-1}$ in the effective action. Here,…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Juliano C. S. Neves

In the context of $f(R)$ gravity theories, the issue of finding static and spherically symmetric black hole solutions is addressed. Two approaches to study the existence of such solutions are considered: first, constant curvature solutions,…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Alvaro de la Cruz-Dombriz , Antonio Dobado , Antonio L. Maroto

Since the recent derivation of a well-defined $D\rightarrow 4$ limit for regularized 4D Einstein Gauss-Bonnet (4DEGB) gravity, there has been considerable interest in testing it as an alternative to Einstein's general theory of relativity.…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Michael Gammon , Robert Mann

Charged black holes arise as solutions of General Relativity (GR) coupled to Maxwell theory. As functions of the mass and charge, they can exhibit extremal behavior, in which case they are stable against thermal decay. (Quantum) corrections…

General Relativity and Quantum Cosmology · Physics 2025-04-30 Mattia Damia Paciarini , Manuel Del Piano , Stefan Hohenegger , Francesco Sannino

Bardeen de-Sitter (BdS) black hole is a spherically symmetric solution of Einstein's equation which is coupled to nonlinear electromagnetic field in a way that one gets a regular solution, devoid of any singularity at the origin. We compute…

General Relativity and Quantum Cosmology · Physics 2019-06-25 Sahel Dey , Sayan Chakrabarti

We incorporate the effect of non-local gravitational self-energy to obtain a neutral, non-singular spacetime geometry. This is achieved by using a non-local gravitational theory inspired by T-duality, where particle mass is not point-like…

General Relativity and Quantum Cosmology · Physics 2026-05-04 Kimet Jusufi , Douglas Singleton

We analyze the relationship between quasilocal masses calculated for solutions of conformally related theories. We show that the ADM mass of a static, spherically symmetric solution is conformally invariant (up to a constant factor) only if…

General Relativity and Quantum Cosmology · Physics 2009-10-28 K. C. K. Chan , J. D. E. Creighton , R. B. Mann
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