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The gravitational field of a black hole is strongly localized near its horizon when the number of dimensions D is very large. In this limit, we can effectively replace the black hole with a surface in a background geometry (eg Minkowski or…

High Energy Physics - Theory · Physics 2022-03-07 Roberto Emparan , Tetsuya Shiromizu , Ryotaku Suzuki , Kentaro Tanabe , Takahiro Tanaka

A generalized Newtonian potential is derived from the geodesic motion of test particles in Schwarzschild spacetime. This potential reproduces several relativistic features with higher accuracy than commonly used pseudo-Newtonian approaches.…

High Energy Astrophysical Phenomena · Physics 2013-06-17 Emilio Tejeda , Stephan Rosswog

In case of spherical symmetry, the assumptions of finite-time formation of a trapped region and regularity of its boundary --- the apparent horizon --- are sufficient to identify the form of the metric and energy-momentum tensor in its…

General Relativity and Quantum Cosmology · Physics 2020-01-13 Valentina Baccetti , Sebastian Murk , Daniel R. Terno

We revisit and generalize a recent result of Cederbaum [C2, C3] concerning the rigidity of the Schwarzschild manifold for spin manifolds. This includes the classical black hole uniqueness theorems [BM, GIS, Hw] as well as the more recent…

Differential Geometry · Mathematics 2021-06-09 Simon Raulot

In spite of the fact that the Gribov's theorem about the region of applicability of the soft emission factorization cannot be referred literally to the case of massless charged particles, it can be used for the calculation of soft emission…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. S. Fadin , R. Fiore , M. I. Kotsky

Classical general relativity predicts that a contracting, spherically symmetric matter system with a large-enough mass will result in the formation of a trapped region whose outer boundary is an apparent horizon where the gravitational…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Ram Brustein , A. J. M. Medved , Hagar Meir

We derive soft theorems for single-clock cosmologies that enjoy a shift symmetry. These so-called consistency conditions arise from a combination of a large diffeomorphism and the internal shift-symmetry and fix the squeezed limit of all…

High Energy Physics - Theory · Physics 2018-04-20 Bernardo Finelli , Garrett Goon , Enrico Pajer , Luca Santoni

We consider the deformation of the Schwarzschild solution in general relativity due to spherically symmetric quantum fluctuations of the metric and the matter fields. In this case, the 4D theory of gravity with Einstein action reduces to…

High Energy Physics - Theory · Physics 2009-10-22 D. I. Kazakov , S. N. Solodukhin

This article sets out the framework of algebraic quantum field theory in curved spacetimes, based on the idea of local covariance. In this framework, a quantum field theory is modelled by a functor from a category of spacetimes to a…

Mathematical Physics · Physics 2015-04-03 Christopher J. Fewster , Rainer Verch

The near-horizon geometry of evaporation black holes is determined according to the semi-classical Einstein equation. We consider spherically symmetric configurations in which the collapsing star has already collapsed below the…

High Energy Physics - Theory · Physics 2018-08-01 Pei-Ming Ho , Yoshinori Matsuo

Quantum gravity corrections to accretion onto a Schwarzschild black hole are considered in the context of asymptotically safe scenario. The possible positions of the critical points are discussed and the general conditions for critical…

General Relativity and Quantum Cosmology · Physics 2015-10-20 Rong-Jia Yang

We reconsider warped black hole solutions in topologically massive gravity and find novel boundary conditions that allow for soft hairy excitations on the horizon. To compute the associated symmetry algebra we develop a general framework to…

High Energy Physics - Theory · Physics 2018-02-06 Daniel Grumiller , Philip Hacker , Wout Merbis

We deduce a new formula for the perihelion advance of a test particle in the Schwarzschild black hole by applying a newly developed non-linear transformation within the Schwarzschild space-time. By this transformation we are able to apply…

General Relativity and Quantum Cosmology · Physics 2011-06-13 H. -J. Schmidt

We consider the fluid dual of $(d+2)$-dimensional vacuum Einstein equation either with or without a cosmological constant. The background solutions admit black hole event horizons and the spatial sections of the horizons are conformally…

High Energy Physics - Theory · Physics 2015-06-23 Xin Hao , Bin Wu , Liu Zhao

We study geometrically thick non-self gravitating equilibrium tori orbiting a Schwarzschild black hole immersed in swirling universes. This solution is axially symmetric and non-asymptotically flat, and its north and south hemispheres spin…

General Relativity and Quantum Cosmology · Physics 2024-02-06 Chengjia Chen , Qiyuan Pan , Jiliang Jing

Complex scalar fields described by a novel Klein-Gordon equation derived from gauge and group theories are considered at the Schwarzschild's black hole singularities. It is shown that the field is well-behaved in the vicinity of these…

General Physics · Physics 2026-04-03 Z. E. Musielak , J. L. Fry , G. W. Kanan

Classically the constraint algebra of general relativity, which generates gauge transformations, is equivalent to spacetime covariance. In LQG, inverse triad corrections lead to an effective Hamiltonian constraint which can lead to a…

General Relativity and Quantum Cosmology · Physics 2012-07-11 Rakesh Tibrewala

Pseudo-Newtonian potentials are a tool often used in theoretical astrophysics to capture some key features of a black-hole space-time in a Newtonian framework. As a result, one can use Newtonian numerical codes, and Newtonian formalism in…

General Relativity and Quantum Cosmology · Physics 2017-06-08 Vojtech Witzany , Claus Laemmerzahl

Any probe which crosses the horizon of a black hole should be absorbed. In M(atrix) theory, for 0-brane probes of Schwarzschild black holes, we argue that the relevant absorption mechanism is a tachyon instability which sets in at the…

High Energy Physics - Theory · Physics 2010-02-03 Daniel Kabat , Gilad Lifschytz

Inhomogeneity of the actual value of the vacuum energy density is considered in a black hole background. We examine the back-reaction of a Schwarzschild black hole to the highly inhomogeneous vacuum density, and argue the fluctuations lead…

High Energy Physics - Theory · Physics 2018-11-09 Alexander Y. Yosifov , Lachezar G. Filipov
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