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We derive for the first time the form of the spiral null geodesics around the photon sphere of the Reissner-Nordstrom black hole in the de Sitter expanding universe. Moreover, we obtain the principal parameter we need for deriving,…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Ion I. Cotaescu

Null and timelike geodesics around a 2+1 black hole are determined. Complete geodesics of both types exist in the rotating black-hole background, but not in the spinless case. Upper and lower bounds for the radial size of the orbits are…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Norman Cruz , Cristián Martínez , Leda Peña

We derive the master equations governing axial and polar gravitational perturbations of a generic static and spherically symmetric black hole spacetime within the framework of the revised Deser--Woodard nonlocal gravity theory. We then…

General Relativity and Quantum Cosmology · Physics 2026-01-19 Rocco D'Agostino , Vittorio De Falco

In this work, we follow the recently revisited f(R) theory of gravity for studying the interaction between quantum scalar particles and the gravitational field of a generalized black hole with an f(R) global monopole. This background has a…

General Relativity and Quantum Cosmology · Physics 2022-01-04 H. S. Vieira

We review the analytical solution methods for the geodesic equations in Kerr-Newman-Taub-NUT-de Sitter spacetimes and its subclasses in terms of elliptic and hyperelliptic functions. A short guide to corresponding literature for general…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Eva Hackmann , Claus Lämmerzahl

In this paper we consider spacetimes in vacuum general relativity --possibly coupled to a scalar field-- with a positive cosmological constant $\Lambda$. We employ the Isolated Horizons (IH) formalism where the boundary conditions imposed…

High Energy Physics - Theory · Physics 2009-11-10 Alejandro Corichi , Andres Gomberoff

In this work, we investigate geodesics and black hole shadows in the Kerr-Bertotti-Robinson spacetime. We show that the equations of motion for null geodesics are separable and admit analytical treatment, whereas timelike geodesics are…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Xinyu Wang , Yehui Hou , Xi Wan , Minyong Guo , Bin Chen

In this work the gravitational lensing in the strong field limit around the Schwarzschild black hole pierced by a cosmic string is studied. We find that the deflection angle and the time delay of the relativistic images depend on the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Jingyun Man , Huawen Wang , Hongbo Cheng

We present a new exact solution to Einstein's field equations that unifies the Kerr black hole with Friedmann-Lema\^itre-Robertson-Walker cosmology. This metric reduces to Kerr-de Sitter in the appropriate limit and accounts for…

General Relativity and Quantum Cosmology · Physics 2026-05-25 Antonio Peña Peña

We discuss a four-dimensional gravitational action which was obtained replacing a Randall-Sundrum type metric in the so called five-dimensional Einstein-Chern-Simons gravity action. We studied black hole solutions of the corresponding…

High Energy Physics - Theory · Physics 2022-10-12 S. Lepe , C. Riquelme , P. Salgado

Static, spherically symmetric solutions of the field equations for a particular dimensional continuation of general relativity with negative cosmological constant are found. In even dimensions the solution has many similarities with the…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Maximo Banados

The regularity of black hole solutions, embedded in an expanding Universe, is studied in a subclass of Horndeski theories, namely the sum of the simplest quadratic, cubic and quintic actions. We find that in presence of a time derivative of…

General Relativity and Quantum Cosmology · Physics 2025-07-24 Eugeny Babichev , Gilles Esposito-Farèse , Ignacy Sawicki , Leonardo G. Trombetta

We extract the Hubble law by the frequency-shift considerations of test particles revolving the Kerr black hole in asymptotically de Sitter spacetime. To this end, we take into account massive geodesic particles circularly orbiting the…

General Relativity and Quantum Cosmology · Physics 2023-05-29 Mehrab Momennia , Alfredo Herrera-Aguilar , Ulises Nucamendi

In this paper, by taking de Sitter space-time as a thermodynamic system, we study the equivalent thermodynamic quantities of de Sitter black hole in massive gravity, and furthermore obtain the equivalent thermodynamic quantities of the…

High Energy Physics - Theory · Physics 2018-06-13 Yu-Bo Ma , Ren Zhao , Shuo Cao

In this work we have investigated various properties of a spinning gyroscope in the context of Horndeski theories. In particular, we have focused on two specific situations --- (a) when the gyroscope follows a geodesic trajectory and (b)…

General Relativity and Quantum Cosmology · Physics 2018-06-08 Sajal Mukherjee , Sumanta Chakraborty

The mathematical theory of isometric embedding is applied to study the notion of quasilocal mass in general relativity. In particular, I shall report some recent progress of quasilocal mass with reference to a cosmological spacetime, such…

General Relativity and Quantum Cosmology · Physics 2020-10-27 Mu-Tao Wang

The scattering of massive particles by a Schwarzschild black hole also undergoing a drag force is considered. The latter is modeled as a viscous force acting on the orbital plane, with components proportional to the associated particle…

General Relativity and Quantum Cosmology · Physics 2018-08-20 Donato Bini , Andrea Geralico

We provide a systematic and comprehensive derivation of the linearized dynamics of massive and partially massless spin-2 particles in a Schwarzschild (anti) de Sitter black hole background, in four and higher spacetime dimensions. In…

High Energy Physics - Theory · Physics 2021-06-22 Rachel A. Rosen , Luca Santoni

With the basic cosmological relations that agree with the recent observations, simple expressions are suggested concerning the value of cosmological constant($\Lambda$). A large contribution of quantum vacuum to the energy momentum tensor…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ishwaree P. Neupane

Gray-Vanhecke conjectured that the volumes of small geodesic balls could determine if the manifold is a space form, and provided a proof for the compact 4-dimensional manifold, and some cases. In this paper, similar results for the…

Differential Geometry · Mathematics 2024-04-25 JeongHyeong Park