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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…

General Relativity and Quantum Cosmology · Physics 2018-12-10 Robert Svarc , Jiri Podolsky , Vojtech Pravda , Alena Pravdova

We study the causal structure of Schwarzschild-de Sitter (SdS), including shock wave perturbations, in $D>3$ using reflected null ray trajectories, either through the interior black hole or the exterior de Sitter region. Specifically, we…

High Energy Physics - Theory · Physics 2025-09-01 Mir Mehedi Faruk , Facundo Rost , Jan Pieter van der Schaar

Schwarzschild-de Sitter (SdS) black holes do not admit a completely smooth Euclidean continuation. We discuss some modifications of the gravitational path integral that give Euclidean SdS a semiclassical equilibrium interpretation. First we…

High Energy Physics - Theory · Physics 2022-07-13 Patrick Draper , Szilard Farkas

In the paper, only Static Spherically Symmetric space-times in four dimensions are considered within modified gravity models. The non-singular static metrics, including black holes not admitting a de Sitter core in the center and…

General Relativity and Quantum Cosmology · Physics 2024-10-07 A. S. Agrawal , Sergio Zerbini , B. Mishra

Using perturbative techniques, we investigate the existence and properties of a new static solution for the Einstein equation with a negative cosmological constant, which we call the deformed black hole. We derive a solution for a static…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Hirotaka Yoshino , Tohru Ohba , Akira Tomimatsu

We investigate a recent proposal for defining a conserved mass in asymptotically de Sitter spacetimes that is based on a conjectured holographic duality between such spacetimes and Euclidean conformal field theory. We show that an algorithm…

High Energy Physics - Theory · Physics 2007-05-23 A. M. Ghezelbash , R. B. Mann

We briefly revisit the Schwarzschild-de Sitter solution in the context of five-dimensional general relativity. We obtain a class of five-dimensional solutions of Einstein vacuum field equations into which the four-dimensional…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. B. Fonseca-Neto , C. Romero

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

The primary focus of the current study is to explore the geometrical properties of the Vaidya-Bonner-de Sitter (briefly, VBdS) spacetime, which is a generalization of Vaidya-Bonner spacetime, Vaidya spacetime and Schwarzschild spacetime. In…

Differential Geometry · Mathematics 2024-02-20 Absos Ali Shaikh , Shyamal kumar Hui , Mousumi Sarkar , V. Amarendra Babu

The Schwarzschild-de Sitter solution in the Einstein theory with a positive cosmological constant $\Lambda=m^2/\alpha$ becomes an exact solution to the dRGT non-linear massive gravity theory with the mass parameter $m$ when the theory…

High Energy Physics - Theory · Physics 2014-02-26 Hideo Kodama , Ivan Arraut

Recently, two kinds of deformed schwarzschild spacetime have been proposed, which are the black-bounces metric (\cite{2019JCAP...02..042S,2021PhRvD.103h4052L}) and quantum deformed black hole (BH) (\cite{2021arXiv210202471B}). In present…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Zhaoyi Xu , Meirong Tang

Based on the perspective that continuum gravitational physics is an emergent quantum gravitational phenomenon, and that spacetime thermodynamic is the natural langauge in which it can be described, we derive a modified Schwarzschild-de…

General Relativity and Quantum Cosmology · Physics 2021-10-29 Luca Marchetti , Giancarlo Cella

We study a close relationship between the topological anti-de Sitter (TAdS)-black holes and topological de Sitter (TdS) spaces including the Schwarzschild-de Sitter (SdS) black hole in five-dimensions. We show that all thermal properties of…

High Energy Physics - Theory · Physics 2009-11-10 Y. S. Myung

We study spherically symmetric spacetimes in Einstein-aether theory in three different coordinate systems, the isotropic, Painlev\`e-Gullstrand, and Schwarzschild coordinates, in which the aether is always comoving, and present both…

General Relativity and Quantum Cosmology · Physics 2021-07-30 Jacob Oost , Shinji Mukohyama , Anzhong Wang

We generalize the superposition principle for time-symmetric initial data of black hole spacetimes to (anti-)de Sitter cosmologies in terms of an eigenvalue problem $\Delta_g\phi={1/8}(R_g-2\Lambda)\phi$ for a conformal scale $\phi$ applied…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Maurice H. P. M. van Putten

We analyze null- and spacelike radial geodesics in Schwarzschild-de Sitter spacetime connecting two conjugate static sphere observers, i.e. free-falling observers at a fixed radius in between the two horizons. We explicitly determine the…

General Relativity and Quantum Cosmology · Physics 2024-06-04 Mir Mehedi Faruk , Edward Morvan , Jan Pieter van der Schaar

The Kottler spacetime in isotropic coordinates is known where the metric is time-dependent. In this paper, the Kottler spacetime is given in isotropic static coordinates (i.e., the metric components are time-independent). The metric is…

General Relativity and Quantum Cosmology · Physics 2021-11-22 R Solanki

Recent results on classical and quantum strings in a variety of black hole and cosmological spacetimes, in various dimensions, are presented. The curved backgrounds under consideration include the $2+1$ black hole anti de Sitter spacetime…

High Energy Physics - Theory · Physics 2016-08-15 A. L. Larsen , N. Sánchez

We establish a new uniqueness theorem for the three dimensional Schwarzschild-de Sitter metrics. For this some new or improved tools are developed. These include a reverse Lojasiewicz inequality, which holds in a neighborhood of the…

Differential Geometry · Mathematics 2023-03-15 Stefano Borghini , Piotr T. Chruściel , Lorenzo Mazzieri

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