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We establish a black hole uniqueness theorem for Schwarzschild-de Sitter spacetime, also called Kottler spacetime, which satisfies Einstein's field equations of general relativity with positive cosmological constant. Our result concerns the…

General Relativity and Quantum Cosmology · Physics 2010-09-10 Philippe G. LeFloch , Luc Rozoy

A four-dimensional black hole solution of the Einstein equations with a positive cosmological constant, coupled to a conformal scalar field, is given. There is a curvature singularity at the origin, and scalar field diverges inside the…

High Energy Physics - Theory · Physics 2009-11-07 Cristian Martinez , Ricardo Troncoso , Jorge Zanelli

We present new solutions of warped compactifications in the higher-dimensional gravity coupled to the scalar and the form field strengths. These solutions are constructed in the D-dimensional spacetime with matter fields, with the internal…

High Energy Physics - Theory · Physics 2012-03-15 Masato Minamitsuji , Kunihito Uzawa

We study the evolution of timelike geodesics for two dimensional black hole spacetimes arising in string theory and general theory of relativity by solving the Raychaudhuri equation for expansion scalar as an initial value problem. The…

General Relativity and Quantum Cosmology · Physics 2015-05-04 Ravi Shankar Kuniyal , Rashmi Uniyal , Hemwati Nandan , Alia Zaidi

We study Einstein's gravity coupled to nonlinear electrodynamics with two parameters in Anti-de Sitter spacetime. Magnetically charged black holes in an extended phase space is investigated. We obtain the mass and metric functions, their…

General Physics · Physics 2024-08-09 S. I. Kruglov

A brief illustrative discussion of the shadows of black holes at local and cosmological distances is presented. Starting from definition of the term and discussion of recent observations, we then investigate shadows at large, cosmological…

General Relativity and Quantum Cosmology · Physics 2019-10-24 G. S. Bisnovatyi-Kogan , O. Yu. Tsupko , V. Perlick

[Abridged] This review surveys the theory of gravitational self-force in curved spacetime and its application to the gravitational two-body problem in the extreme-mass-ratio regime. We first lay the relevant formal foundation, describing…

General Relativity and Quantum Cosmology · Physics 2018-12-26 Leor Barack , Adam Pound

In this article is shown that the thermodynamical evolution of a Schwarzschild de Sitter space is the evaporation of its black hole. The result is extended in higher dimensions to Lovelock theories of gravity with a single positive…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Rodrigo Aros

We show that a formalism for analyzing the near-horizon conformal symmetry of Schwarzschild black holes using a scalar field probe is capable of describing black hole decay. The equation governing black hole decay can be identified as the…

High Energy Physics - Theory · Physics 2015-06-26 Kumar S. Gupta , Siddhartha Sen

Recently, we proposed a novel charged wormhole spacetime based on Yoshiaki Sofue's exponential dark matter density profile, referred to as the Charged Galactic Wormhole. Our previous work explored the deflection of light and massive…

General Physics · Physics 2025-10-09 Md Khalid Hossain , Farook Rahaman

In a Schwarzschild-de Sitter space, we consider an equipotential surface which consists of two holographic screens. Adapting the Bousso-Hawking's reference point of vanishing force, we divide the space into two regions, which are from the…

High Energy Physics - Theory · Physics 2011-09-06 Ee Chang-Young , Myungseok Eune , Kyoungtae Kimm , Daeho Lee

A general formalism for understanding the thermodynamics of horizons in spherically symmetric spacetimes is developed. The formalism reproduces known results in the case of black hole spacetimes. But its power lies in being able to handle…

General Relativity and Quantum Cosmology · Physics 2010-11-19 T. Padmanabhan

We raise the analytical knowledge of the eccentricity-expansion of the Detweiler-Barack-Sago redshift invariant in a Schwarzschild spacetime up to the 9.5th post-Newtonian order (included) for the $e^2$ and $e^4$ contributions, and up to…

General Relativity and Quantum Cosmology · Physics 2016-05-18 Donato Bini , Thibault Damour , Andrea Geralico

The strong cosmic censorship hypothesis has recently regained a lot of attention in charged and rotating black holes immersed in de Sitter space. Although the picture seems to be clearly leaning towards the validity of the hypothesis in…

General Relativity and Quantum Cosmology · Physics 2019-11-04 Kyriakos Destounis , Rodrigo D. B. Fontana , Filipe C. Mena , Eleftherios Papantonopoulos

We investigate the geodesics of a Schwarzschild spacetime embedded in an isotropic expanding cosmological background (McVittie metric). We focus on bound particle geodesics in a background including matter and phantom dark energy with…

General Relativity and Quantum Cosmology · Physics 2016-06-29 Ioannis Antoniou , Leandros Perivolaropoulos

In this work, we extend the study of Schwarzschild-Finsler-Randers (SFR) spacetime previously investigated by a subset of the present authors (Triantafyllopoulos et al. in Eur Phys J C 80(12):1200, 2020; Kapsabelis et al. in Eur Phys J C…

General Relativity and Quantum Cosmology · Physics 2022-12-27 E. Kapsabelis , P. G. Kevrekidis , P. C. Stavrinos , A. Triantafyllopoulos

Since the Schwarzschild-de Sitter spacetime is static inside the cosmological event horizon, if the dark energy state parameter is sufficiently close to $-1$, apparently one could still expect an effectively static geometry, in the…

General Relativity and Quantum Cosmology · Physics 2018-01-25 Md Sabir Ali , Sourav Bhattacharya

This is the second of two works, in which we discuss the definition of an appropriate notion of mass for static metrics, in the case where the cosmological constant is positive and the model solutions are compact. In the first part, we have…

Analysis of PDEs · Mathematics 2022-03-10 Stefano Borghini , Lorenzo Mazzieri

We attempt to study three significant tests of general relativity in higher dimensions both in commutative and non-commutative spaces. In the context of non-commutative geometry, we will consider a solution of the Einstein equation in…

General Relativity and Quantum Cosmology · Physics 2021-05-04 Davood Mahdavian Yekta , S. A. Alavi , Majid Karimabadi

We present the geodesical completion of the Schwarzschild black hole in four dimensions which covers the entire space in (u,v) Kruskal-Szekeres coordinates, including the spacetime behind the black and white hole singularities. The…

High Energy Physics - Theory · Physics 2015-10-13 Ignacio J. Araya , Itzhak Bars , Albin James