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The quantum nature of the Schwarzschild black hole interior is investigated through the Wheeler-DeWitt (WDW) equation. The interior of a static, spherically symmetric black hole is described by the Kantowski-Sachs (KS) metric, which…

General Relativity and Quantum Cosmology · Physics 2026-01-23 Takeshi Chiba , Hiroki Matsui , Keiju Murata

We study non-geodesic orbits of test particles endowed with a structure, assuming the Schwarzschild spacetime as background. We develop a formalism which allows one to recognize the geometrical characterization of those orbits in terms of…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Fernando de Felice , Andrea Geralico

We investigate the motion of a magnetized particle orbiting around a black hole in braneworld placed in asymptotically uniform magnetic field. The influence of brane parameter on effective potential of the radial motion of magnetized…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Ozodbek Rahimov

In general relativity, the asymptotically flat space-time of a charged, spherically symmetric (non-rotating) body is described by the Reissner-Nordstr\"om metric. This metric corresponds to a naked singularity when the absolute value of…

General Relativity and Quantum Cosmology · Physics 2024-01-29 Ruchi Mishra , Włodek Kluźniak

We define a completely new space-time starting from the well known Schwarzschild Space time by defining a new polar angle $\phi '= \phi - \omega t$ and then redefining the periodicity: instead of demanding that the original angle be…

General Relativity and Quantum Cosmology · Physics 2017-08-31 Arka Prabha Banik , Eduardo Guendelman

The classical geodesics of timelike particles in Schwarzschild spacetime is analyzed according to the particle starting radius $r$, velocity $v$ and angle $\alpha$ against the radial outward direction in the reference system of an local…

General Relativity and Quantum Cosmology · Physics 2020-03-11 Yaoguang Wang , Xionghui Liu , Nan Yang , Jiawei Liu , Junji Jia

Naked singularities form during the gravitational collapse of inhomogeneous matter clouds. The final nature of the singularity depends on the initial conditions of the matter properties and types of matter profiles. These naked…

General Relativity and Quantum Cosmology · Physics 2022-06-01 Siddharth Madan , Parth Bambhaniya

Geodesic equations of the vacuum C-metric are derived and solved for various cases. The solutions describe the motion of timelike or null particles with conserved energy and angular momentum. Polar, nearly-circular orbits around weakly…

General Relativity and Quantum Cosmology · Physics 2014-05-13 Yen-Kheng Lim

In Schwarzschild spacetime, the timelike geodesic equations, which define particle orbits, have a well-known formulation as a dynamical system in coordinates adapted to the timelike hypersurface containing the geodesic. For equatorial…

General Relativity and Quantum Cosmology · Physics 2023-08-03 Stephen C. Anco , Jordan Fazio

In this paper, we study the geodesic motion in spherically symmetric electro-vacuum Euclidean solutions of the Einstein equation. There are two kinds of such solutions: the Euclidean Reissner-Nordstr\"{o}m (ERN) metrics, and the…

General Relativity and Quantum Cosmology · Physics 2024-04-17 Arthur Garnier

The Event Horizon Telescope has recently observed the images and shadows of the compact objects M87$^*$ and Sgr A$^*$ at the centres of the galaxies Messier 87 and Milky Way. This has opened up a new window in observational astronomy to…

General Relativity and Quantum Cosmology · Physics 2023-05-15 Kunal Pal , Kuntal Pal , Rajibul Shaikh , Tapobrata Sarkar

In this paper, all possible orbits of test particles are investigated by using phase plane method in regular Hayward black hole space-time. Our results show that the time-like orbits are divided into four types: unstable circular orbits,…

General Relativity and Quantum Cosmology · Physics 2019-10-11 Jian-Ping Hu , Yu Zhang

We study the motion of a spinning particle with gravimagnetic moment in Schwarzschild-like spacetimes with a metric $ds^2=-f(r) dt^2 + f^{-1}(r) dr^2 + r^2 d\Omega^2$, specifically we deal with Schwarzschild, Reissner-Nordstrom black holes…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Walberto Guzmán-Ramírez , Ricardo Becerril , Susana Valdez-Alvarado , Alexei A. Deriglazov

Phase space method provides a novel way for deducing qualitative features of nonlinear differential equations without actually solving them. The method is applied here for analyzing stability of circular orbits of test particles in various…

General Relativity and Quantum Cosmology · Physics 2009-11-13 A. Palit , A. Panchenko , N. G. Migranov , A. Bhadra , K. K. Nandi

In this paper we will study the geodesic motion of massive particles, in a Schwarzschild background, with a semi-classical quantum framework called "Polymer Quantum Mechanics" (PQM) in order to investigate the black hole phenomenology…

General Relativity and Quantum Cosmology · Physics 2025-06-10 Lorenzo Boldorini , Corrado Marzano , Giovanni Montani

In this work we have obtained a charged black hole solution in the presence of perfect fluid dark matter (PFDM) and discuss its energy conditions. The metric corresponding to the rotating avatar of this black hole solution is obtained by…

General Relativity and Quantum Cosmology · Physics 2021-02-23 Anish Das , Ashis Saha , Sunandan Gangopadhyay

We study bound orbits near the centres of static, spherically symmetric, asymptotically flat configurations of a self-gravitating scalar field minimally coupled to gravity. In our approach, a nonlinear scalar field is considered as an…

General Relativity and Quantum Cosmology · Physics 2019-08-29 I. M. Potashov , Ju. V. Tchemarina , A. N. Tsirulev

Periodic orbits exhibiting zoom-whirl behavior have become attractive topics for studying particle dynamics and gravitational wave emission in extreme-mass-ratio inspirals (EMRIs). This study systematically investigates periodic orbits…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Guo-He Li , Chen-Kai Qiao , Jun Tao

We examine the dynamics of particles around a rotating regular black hole. In particular we focus on the effects of the characteristic length parameter of the spinning black hole on the motion of the particles by solving the equation of…

General Relativity and Quantum Cosmology · Physics 2023-05-23 Brandon Bautista-Olvera , Juan Carlos Degollado , Gabriel German

An asymptotically flat hairy black hole (HBH) can exhibit distinct characteristics when compared to the Schwarzschild black hole, due to the evasion of no-hair theorem by minimally coupling the Einstein gravity with a scalar potential which…

General Relativity and Quantum Cosmology · Physics 2025-03-26 Hongyu Chen , Wei Fan , Xiao Yan Chew
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