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We prove that a class of solutions to Einstein's equations---originally discovered by G. C. McVittie in 1933---includes regular black holes embedded in Friedman-Robertson-Walker cosmologies. If the cosmology is dominated at late times by a…

高能物理 - 理论 · 物理学 2010-07-29 Nemanja Kaloper , Matthew Kleban , Damien Martin

We carefully investigate, extend, and shed new light on the McVittie exact solution of Einstein's gravity (EG) with the focus on the implications in the Universe we live in. It turns out that the only known exact solution of EG, which…

广义相对论与量子宇宙学 · 物理学 2025-10-07 Leonardo Modesto , Edoardo Rattu

Inspired in a previous work by McClure and Dyer (Classical Quantum Gravity 23, 1971 (2006)), we analyze some solutions of the Einstein-Maxwell equations which were originally written to describe charged black holes in cosmological…

广义相对论与量子宇宙学 · 物理学 2015-07-01 Manuela G. Rodrigues , Vilson T. Zanchin

The singularities present at the centre of black holes signal a break down of the classical theory. In this paper, we demonstrate a resolution of the Schwarzschild-(Anti-)de Sitter singularity by imposing unitary evolution with respect to…

广义相对论与量子宇宙学 · 物理学 2025-08-29 Sofie Ried

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…

高能物理 - 理论 · 物理学 2022-07-13 Patrick Draper , Szilard Farkas

McVittie spacetimes embed the vacuum Schwarzschild(-(anti) de Sitter) spacetime in an isotropic FLRW background universe. We study the global structure of McVittie spacetimes with spatially non-flat FLRW backgrounds. This requires the…

广义相对论与量子宇宙学 · 物理学 2017-11-22 Brien C. Nolan

We propose and analyze a new metric that has two conformal factors a(t) and b(t) that combine the expansion of the universe and its effects on the spatial and temporal part of the Schwarzschild metric in isotropic coordinates. We present…

广义相对论与量子宇宙学 · 物理学 2014-09-10 Metin Arik , Yorgo Şenikoğlu

We investigate the Schwarzschild-(anti) de Sitter spacetime with the anisotropic metric ansatz. The Wheeler-DeWitt equation for such a metric is solved numerically. In the presence of the cosmological constant $\Lambda$, we show that two…

广义相对论与量子宇宙学 · 物理学 2023-08-09 Chen-Hsu Chien , Gansukh Tumurtushaa , Dong-han Yeom

It is shown that Schwarzschild black hole and de Sitter solutions exist as exact solutions of a recently proposed relativistic covariant formulation of (power-counting) renormalizable gravity with a fluid. The formulation without a fluid is…

高能物理 - 理论 · 物理学 2011-03-22 G. Cognola , E. Elizalde , L. Sebastiani , S. Zerbini

We study regular Schwarzschild black holes in General Relativity as an alternative to the singular counterpart. We analyze two types of solutions which are completely parameterised by the ADM mass alone. We find that both families of…

广义相对论与量子宇宙学 · 物理学 2025-02-20 Roberto Casadio , Alexander Kamenshchik , Jorge Ovalle

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…

高能物理 - 理论 · 物理学 2014-02-26 Hideo Kodama , Ivan Arraut

We present new exact solutions {which presumably describe} black holes in the background of a spatially flat, pressureless dark matter (DM)-, or dark matter plus dark energy (DM+DE)-, or quintom-dominated universe. These solutions…

广义相对论与量子宇宙学 · 物理学 2015-06-03 Changjun Gao , Xuelei Chen , You-Gen Shen , Valerio Faraoni

In this paper, static electrically charged black hole solutions with cosmological constant are investigated in an Einstein-Hilbert theory of gravity with additional quadratic curvature terms. Beside the analytic Schwarzschild (Anti-) de…

广义相对论与量子宇宙学 · 物理学 2016-07-18 Kai Lin , Wei-Liang Qian , A. B. Pavan , E. Abdalla

We consider cosmological and black hole solutions in the Einstein and higher-derivative gravity in two dimensions where the theory is formulated first in $D$ dimensions. In the limit that $D$ tends to $2$ with simultaneous singular…

高能物理 - 理论 · 物理学 2020-08-26 Shin'ichi Nojiri , Sergei D. Odintsov

The two-parameter charged McVittie solution of the Einstein equations is revisited and its apparent horizons are discussed and located numerically (for the extremal case, analytically). According to the parameter values, this spacetime can…

广义相对论与量子宇宙学 · 物理学 2015-06-19 Valerio Faraoni , Andres F. Zambrano Moreno , Angus Prain

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…

广义相对论与量子宇宙学 · 物理学 2015-05-18 Maurice H. P. M. van Putten

The thermodynamic properties of Schwarzschild-anti-de Sitter black holes confined within finite isothermal cavities are examined. In contrast to the Schwarzschild case, the infinite cavity limit may be taken which, if suitably stated,…

高能物理 - 理论 · 物理学 2009-10-31 Tim Prestidge

We find a new non BPS solution in $N=2$ $D=4$ gauged supergravity coupled to $U(1)$ gauge fields and matter. It consists in a closed universe with two extremal black holes of equal size, surrounding two singularities. They have opposite…

高能物理 - 理论 · 物理学 2021-12-08 Sergio Luigi Cacciatori , Davide Astesiano

We combine notions of a maximal curvature scale in nature with that of a minimal curvature scale to construct a non-singular Schwarzschild-de Sitter black hole. We present an exact solution within the context of two-dimensional dilaton…

高能物理 - 理论 · 物理学 2018-11-13 Damien A. Easson

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…

广义相对论与量子宇宙学 · 物理学 2008-11-26 J. B. Fonseca-Neto , C. Romero
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