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Schwarzschild-de Sitter black holes have two horizons that are at different temperatures for generic values of the black hole mass. Since the horizons are out of equilibrium the solutions do not admit a smooth Euclidean continuation and it…

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

We present a fully analytic treatment of Schwarzschild--de~Sitter (SdS) black-hole evaporation in two-dimensional dilaton gravity with anomaly-induced backreaction. Starting from the spherical reduction of four-dimensional Einstein gravity…

High Energy Physics - Theory · Physics 2026-01-26 Damien A. Easson

We define a completely new space-time starting from the well known Schwarzschild Space time by defining a new polar angle $\phi '= \phi - \omega t$ and then redefining the periodicity: instead of demanding that the original angle be…

General Relativity and Quantum Cosmology · Physics 2017-08-31 Arka Prabha Banik , Eduardo Guendelman

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 present a canonical quantization framework for static spherically symmetric spacetimes described by the Einstein-Hilbert action with a cosmological constant. In addition to recovering the classical Schwarzschild-(Anti)-de Sitter…

General Relativity and Quantum Cosmology · Physics 2026-03-03 Benjamin Koch , Ali Riahinia

For a static and spherically symmetric spacetime, we investigate the class of exact solutions that arise when two fundamental geometric constraints are imposed simultaneously: the Karmarkar's condition and the vanishing of the Weyl tensor.…

General Relativity and Quantum Cosmology · Physics 2026-02-18 Samstuti Chanda , Ranjan Sharma , Sunil D. Maharaj

In this work we estimate the parameters of several astrophysical black holes hosted at the core of active galactic nuclei by studying the kinematics of test objects in their accretion disk. First, we derive expressions for the redshift and…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Deborah Villaraos , Alfredo Herrera-Aguilar , Mehrab Momennia , Ulises Nucamendi

A new method is applied for deriving the redshift and shadow of a Schwarzschild black hole moving freely in the de Sitter expanding universe as recorded by a co-moving remote observer. This method is manly algebraic focusing on the…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Ion I. Cotaescu

We present a systematic study of static solutions of the vacuum Einstein equations with negative cosmological constant which asymptotically approach the generalized Kottler (``Schwarzschild--anti-de Sitter'') solution, within (mainly) a…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Piotr T. Chrusciel , Walter Simon

We consider particle-like and black holes solutions of the Einstein-Yang-Mills system with positive cosmological constant in d>4 spacetime dimensions. These configurations are spherically symmetric and present a cosmological horizon for a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yves Brihaye , Eugen Radu , D. H. Tchrakian

As quotient spaces, Minkowski and de Sitter are fundamental spacetimes in the sense that they are known "a priori", independently of Einstein equation. They represent different non-gravitational backgrounds for the construction of physical…

General Relativity and Quantum Cosmology · Physics 2015-08-18 A. Araujo , J. G. Pereira

The late time accelerated expansion of the Universe demands that even in local galactic-scales it is desirable to study astrophysical phenomena, particularly relativistic accretion related phenomena in massive galaxies or in galaxy mergers…

General Relativity and Quantum Cosmology · Physics 2014-10-28 Tamal Sarkar , Shubhrangshu Ghosh , Arunava Bhadra

We discuss the linearization of Einstein equations in the presence of a cosmological constant, by expanding the solution for the metric around a flat Minkowski space-time. We demonstrate that one can find consistent solutions to the…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Jose Bernabeu , Catalina Espinoza , Nick E. Mavromatos

We investigate observables within the framework of the codimension-one C=Anything (CAny) proposal for Schwarzschild-de Sitter (SdS) space under the influence of shockwave sources. Within the proposal, there is a set of time-reversal…

High Energy Physics - Theory · Physics 2024-02-07 Sergio E. Aguilar-Gutierrez

According to static patch holography, de Sitter space admits a unitary quantum description in terms of a dual theory living on the stretched horizon, that is a timelike surface close to the cosmological horizon. In this manuscript, we…

High Energy Physics - Theory · Physics 2024-04-23 Sergio E. Aguilar-Gutierrez , Stefano Baiguera , Nicoló Zenoni

The well-known Schwarzschild black hole was first obtained as a stationary, spherically symmetric solution of the Einstein's vacuum field equations. But until thirty years later, efforts were made for the analytic extension from the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Shu Dai , Cheng-Bo Guan

Light propagating from near a black hole horizon to the outside world is highly redshifted. In the limit that the emitter passes through the horizon, the redshift becomes infinite. In this sense the near horizon region is unobservable, as…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Bela Nelson , Allison Powell , Jennie Traschen

A variety of historical coordinates in which the Schwarzschild metric is regular over the whole of the extended spacetime are compared and the hypersurfaces of constant coordinate are graphically presented. While the Kruscal form (one of…

General Relativity and Quantum Cosmology · Physics 2014-01-16 W G Unruh

We construct a one-parameter family of static and spherically symmetric solutions to the Einstein-Vlasov system bifurcating from the Schwarzschild spacetime. The constructed solutions have the property that the spatial support of the matter…

Analysis of PDEs · Mathematics 2020-01-24 Fatima Ezzahra Jabiri

We reconsider space-time singularities in classical Einsteinian general relativity: with the help of several new co-ordinate systems we show that the Schwarzschild solution can be extended beyond the curvature singularity at r=0. The…

General Relativity and Quantum Cosmology · Physics 2010-04-06 K. Peeters , C. Schweigert , J. W. van Holten