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The complete analytical solutions of the geodesic equation of massive test particles in higher dimensional Schwarzschild, Schwarzschild-(anti)de Sitter, Reissner-Nordstroem and Reissner-Nordstroem-(anti)de Sitter space--times are presented.…

广义相对论与量子宇宙学 · 物理学 2009-04-23 Eva Hackmann , Valeria Kagramanova , Jutta Kunz , Claus Laemmerzahl

We present a new explicit class of black holes in general quadratic gravity with a cosmological constant. These spherically symmetric Schwarzschild-Bach-(anti-)de Sitter geometries (Schwa-Bach-(A)dS), derived under the assumption of…

广义相对论与量子宇宙学 · 物理学 2018-12-10 Robert Svarc , Jiri Podolsky , Vojtech Pravda , Alena Pravdova

We study the timelike geodesics and geodesic deviation for a two-dimensional stringy blackhole spacetime in Schwarzschild gauge. We have analyzed the properties of effective potential along with the structure of the possible orbits for test…

广义相对论与量子宇宙学 · 物理学 2014-09-23 Rashmi Uniyal , Hemwati Nandan , K. D. Purohit

We present a numerical code for calculating the local gravitational self-force acting on a pointlike particle in a generic (bound) geodesic orbit around a Schwarzschild black hole. The calculation is carried out in the Lorenz gauge: For a…

广义相对论与量子宇宙学 · 物理学 2015-05-15 Leor Barack , Norichika Sago

An imperfect cosmic fluid with energy flux is analyzed. Even though its energy density $\rho$ is positive, the pressure $p = -\rho$ due to the fact that the metric is asymptotically de Sitter. The kinematical quantities for a nongeodesic…

广义相对论与量子宇宙学 · 物理学 2015-06-03 Hristu Culetu

We perform a detailed study of the geodesic equations in the spacetime of the static and rotating charged black hole corresponding to the Kerr-Newman-(A)dS spacetime. We derive the equations of motion for test particles and light rays and…

广义相对论与量子宇宙学 · 物理学 2016-08-02 Saheb Soroushfar , Reza Saffari , Sobhan Kazempour , Saskia Grunau , Jutta Kunz

We introduce an exactly solvable example of timelike geodesic motion and geodesic deviation in the background geometry of a well-known two-dimensional black hole spacetime. The effective potential for geodesic motion turns out to be either…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Ratna Koley , Supratik Pal , Sayan Kar

We continue the study of thermodynamics of black holes in de Sitter spaces. In a previous paper (hep-th/0111093), we have shown that the entropy of cosmological horizon in the Schwarzschild-de Sitter solution and topological de Sitter…

高能物理 - 理论 · 物理学 2008-11-26 Rong-Gen Cai

Three years ago, we introduced a new way to quantize the static Schwarzschild black hole(SSBH), there the SSBH was first treated as a single periodic Euclidean system and then the Bohr-Sommerfeld quantum condition of action was used to…

广义相对论与量子宇宙学 · 物理学 2007-11-14 Liao Liu

In this work we present the first calculation of the gravitational self-force on generic bound geodesics in Kerr spacetime to first order in the mass-ratio. That is, the local correction to equations of motion for a compact object orbiting…

广义相对论与量子宇宙学 · 物理学 2018-05-30 Maarten van de Meent

We calculate the total gravitational energy and the gravitational energy density of the de Sitter space using the definition of localized energy that arises in the framework of the teleparallel equivalent of general relativity. We find that…

广义相对论与量子宇宙学 · 物理学 2009-10-28 J. W. Maluf

The metric of arbitrary dimensional Schwarzschild black hole in the background of Friedman-Robertson-Walker universe is presented in the cosmic coordinates system. In particular, the arbitrary dimensional Schwarzschild-de Sitter metric is…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Chang Jun Gao

Contents: 1) Introduction and a few excursions [A word on the role of explicit solutions in other parts of physics and astrophysics. Einstein's field equations. "Just so" notes on the simplest solutions: The Minkowski, de Sitter and anti-de…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Jiri Bicak

The geodesics on the $(1+3)$-dimensional de Sitter spacetime are considered studying how their parameters are determined by the conserved quantities in the conformal Euclidean, Friedmann-Lema\^itre-Robertson-Walker, de Sitter-Painlev\'e and…

广义相对论与量子宇宙学 · 物理学 2017-12-20 Ion I. Cotaescu

Recently, two independent calculations have been presented of finite-mass ("self-force") effects on the orbit of a point mass around a Schwarzschild black hole. While both computations are based on the standard mode-sum method, they differ…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Norichika Sago , Leor Barack , Steven Detweiler

We construct a mass or energy function for the non-Nariai class Schwarzschild-de Sitter black hole spacetime in the region between the black hole and the cosmological event horizons. The mass function is local, positive definite, continuous…

广义相对论与量子宇宙学 · 物理学 2015-06-12 Sourav Bhattacharya , Amitabha Lahiri

On the basis of the C-metric, we investigate the conformal Schwarzschild - deSitter spacetime and compute the source stress tensor and study its properties, including the energy conditions. Then we study its extremal version ($b^{2} =…

广义相对论与量子宇宙学 · 物理学 2021-11-24 Hristu Culetu

This paper investigates tidal forces in multidimensional spherically symmetric spacetimes. We consider geodesic deviation equation in Schwarzschild-Tangherlini metric and its electrically charged analog. It was shown that for radial…

广义相对论与量子宇宙学 · 物理学 2023-01-09 V. P. Vandeev , A. N. Semenova

We investigate the gravitational lensing of a Schwarzschild-de Sitter black hole with a global monopole at finite distances. In this asymptotically nonflat spacetime, the deflection angle of light is decomposed into two parts: the first…

广义相对论与量子宇宙学 · 物理学 2025-09-03 Yi Lu , Xiao-Yin Pan , Meng-Yun Lai , Qing-hai Wang

Starting from the Einstein equations in Schwarzschild-de Sitter (SdS) spacetime and imposing Friedmann-Robertson-Walker coordinates at large distances, we find two coordinate systems with time-dependent metrics that are smooth across both…

广义相对论与量子宇宙学 · 物理学 2025-10-16 Leonardo de Lima , Davi C. Rodrigues