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The purpose of this paper is twofold. First, we introduce a geometric approach to study the circular orbit of a particle in static and spherically symmetric spacetime based on Jacobi metric. Second, we apply the circular orbit to study the…

General Relativity and Quantum Cosmology · Physics 2020-06-29 Zonghai Li , Guodong Zhang , Ali Övgün

We describe the gravitational degrees of freedom of the Schwarzschild black hole by one free variable. We introduce an equation which we suggest to be the Schroedinger equation of the Schwarzschild black hole corresponding to this model. We…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jarmo Makela

The Frolov black hole (BH) is a charged extension of the Hayward BH, having regularity at the central point $r = 0$ and an asymptotically Schwarzschild form for large values of $r$. Such a BH is parameterized by a length scale parameter, \(…

General Relativity and Quantum Cosmology · Physics 2025-10-01 Mrinnoy M. Gohain , Kalyan Bhuyan , Rajnandini Borgohain , Tonmoyee Gogoi , Kakoli Bhuyan , Prabwal Phukon

In this paper, we consider black holes in the consistent Aoki-Gorji-Mukohyama theory of the four-dimensional Einstein-Gauss-Bonnet (4D EGB) gravity in the presence of Born-Infeld (BI) nonlinear electrodynamics. We study several optical…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Khadije Jafarzade , Mahdi Kord Zangeneh , Francisco S. N. Lobo

Using the solution phase space method, we investigate the conserved charges of BTZ-like black holes in Einstein-bumblebee gravity. Our study shows that the black hole mass, angular momentum and entropy are influenced by the…

High Energy Physics - Theory · Physics 2025-09-01 Hai-Feng Ding

In this paper, we investigate the properties of black holes within the framework of multi-fractional theories of gravity, focusing on the effects of q-derivatives and weighted derivatives. These modifications, which introduce…

General Relativity and Quantum Cosmology · Physics 2025-06-03 Reggie C. Pantig

Extending our previous analysis, we study the interior of a Schwarzschild black hole derived from a partial gauge fixing of the full Loop Quantum Gravity Hilbert space, this time including the inverse volume and coherent state subleading…

General Relativity and Quantum Cosmology · Physics 2020-09-30 Emanuele Alesci , Sina Bahrami , Daniele Pranzetti

This work investigates additional gravitational features of a newly proposed black hole spacetime within Kalb-Ramond gravity, incorporating non-commutative corrections arising from a gauge-theoretic approach recently introduced in the…

General Relativity and Quantum Cosmology · Physics 2026-05-29 A. A. Araújo Filho , N. Heidari , Iarley P. Lobo , Yuxuan Shi

We present comparisons of the deflection angles of massless and massive particles in the Schwarzschild space-time. For the case of photons in a general static space-time, we construct a spatial 3D equation of motion for their path that…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Sergio Mendoza , Milton Jair Santibañez-Armenta

We study the timelike and null geodesic structure of a static, spherically symmetric black hole sourced by a Kalb--Ramond (KR) field coupled to nonlinear electrodynamics (NED). The geometry is characterized by the mass $M$, the magnetic…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Faizuddin Ahmed , Ahmad Al-Badawi , İzzet Sakallı

This paper studies the deflection of charged particles in a dipole magnetic field in Schwarzschild spacetime background in the weak field approximation. To calculate the deflection angle, we use Jacobi metric and Gauss-Bonnet theorem. Since…

General Relativity and Quantum Cosmology · Physics 2022-12-28 Zonghai Li , Wei Wang , Junji Jia

In this work we study the spectral dimensionality of spacetime around a radiating Schwarzschild black hole using a recently introduced formalism of quantum gravity, where the alterations of the gravitational field produced by the radiation…

General Relativity and Quantum Cosmology · Physics 2025-05-07 Mauricio Bellini , Juan Ignacio Musmarra , Pablo Alejandro Sanchez , Alan Sebastian Morales

We investigate the shadow of Kerr-Bertotti-Robinson black holes (KBRBHs), which have a deviation parameter $B$ that captures the effect of an external magnetic field on the spacetime geometry. These spacetimes of Petrov type $D$ are…

General Relativity and Quantum Cosmology · Physics 2026-01-28 Heena Ali , Sushant G. Ghosh

In this work we derive novel analytical expressions for the mass and distance of a Schwarzschild black hole (BH), as well as for the orbital radius of test particles orbiting it, it terms of astrophysical observables measured throughout the…

General Relativity and Quantum Cosmology · Physics 2026-05-12 J. R. Fernández-Moreno , A. González-Juárez , A. Herrera-Aguilar

In this paper, we present the exact decoupling of the full metric and bumblebee field perturbations in a Schwarzschild-like background. The coupled system reduces to four decoupled master equations, revealing in each parity sector a…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Hui-Fa Liu , Wentao Liu , Yu-Xiao Liu , Qi Su , Ding-fang Zeng

The negative mode of the Schwarzschild black hole is central to Euclidean quantum gravity around hot flat space and for the Gregory-Laflamme black string instability. We analyze the eigenvalue as a function of space-time dimension by…

High Energy Physics - Theory · Physics 2008-11-26 Vadim Asnin , Dan Gorbonos , Shahar Hadar , Barak Kol , Michele Levi , Umpei Miyamoto

Using the general parametrization of spherically symmetric and asymptotically flat black holes in arbitrary metric theories of gravity and implying that: a) the post-Newtonian constraints are taken into account and b) basic astrophysically…

General Relativity and Quantum Cosmology · Physics 2023-08-10 R. A. Konoplya , A. Zhidenko

We consider a static and spherically symmetric black hole metric that emerges from the vacuum solution of the traceless metric-affine bumblebee model. Our study focuses on the possible implications of the modifications induced by the model…

General Relativity and Quantum Cosmology · Physics 2024-02-05 Sohan Kumar Jha , Anisur Rahaman

We investigate the black hole thermodynamics in a "deformed" relativity framework where the energy-momentum dispersion law is Lorentz-violating and the Schwarzchild-like metric is momentum-dependent with a Planckian cut-off. We obtain net…

General Relativity and Quantum Cosmology · Physics 2009-05-22 G. Salesi , E. Di Grezia

We study the equivalence principle, regarded as the cornerstone of general relativity, by analyzing the deformation observable of black hole shadows. Such deformation can arise from new physics and may be expressed as a phenomenological…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-22 Chunlong Li , Sheng-Feng Yan , Lingqin Xue , Xin Ren , Yi-Fu Cai , Damien A. Easson , Ye-Fei Yuan , Hongsheng Zhao