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We obtain exact expressions for various factors involved in the Hadamard form of the retarded Green function for the (Bardeen-Press-)Teukolsky equation on Schwarzschild spacetime. We use these to improve on previous results for the…

广义相对论与量子宇宙学 · 物理学 2026-04-24 David Q. Aruquipa , Marc Casals , Brien C. Nolan

We present a formulation of the spherically decomposed Green's function for a Schwarzschild black hole, based on a decomposition into two components, $G^+$ and $G^-$, based on their large-frequency behaviour. While similar decompositions…

广义相对论与量子宇宙学 · 物理学 2026-03-25 Junquan Su , Neev Khera , Marc Casals , Sizheng Ma , Abhishek Chowdhuri , Huan Yang

The retarded Green function of a wave equation on a 4-dimensional curved background spacetime is a (generalized) function of two spacetime points and diverges when these are connected by a null geodesic. The Hadamard form makes explicit the…

广义相对论与量子宇宙学 · 物理学 2023-08-17 Marc Casals , Brien Nolan

We continue to study the response of black-hole space-times on the presence of additional strong sources of gravity. Restricting ourselves to static and axially symmetric (electro-)vacuum exact solutions of Einstein's equations, we first…

广义相对论与量子宇宙学 · 物理学 2016-08-23 M. Basovník , O. Semerák

We construct a novel exact solution of the Einstein-scalar-Maxwell equations describing a dynamical black hole immersed in an external, time-dependent electromagnetic field. Motivated by the need for more realistic analytical black hole…

广义相对论与量子宇宙学 · 物理学 2026-05-13 Jibril Ben Achour , Adolfo Cisterna , Amaro Díaz , Keanu Müller

The motion of a small compact object in a curved background spacetime deviates from a geodesic due to the action of its own field, giving rise to a self-force. This self-force may be calculated by integrating the Green function for the wave…

广义相对论与量子宇宙学 · 物理学 2013-11-06 Marc Casals , Sam Dolan , Adrian C. Ottewill , Barry Wardell

We investigate the viability of a recently proposed generalization of the Ashtekar-Olmedo-Singh spacetime for the effective description of the interior region of a Schwarzschild black hole within the framework of loop quantum cosmology. The…

广义相对论与量子宇宙学 · 物理学 2022-09-07 Alejandro García-Quismondo , Guillermo A. Mena Marugán

This work is an extensive literature review focusing on a few of the important topics in the large-scale structure of spacetime. The work is a Bachelor's thesis submitted at the Institute of Theoretical Physics, University of Leipzig. The…

广义相对论与量子宇宙学 · 物理学 2019-11-18 Rohan Kulkarni

We examine whether the Schwarzschild black hole can emerge as the continuous end state of gravitational collapse from a non-singular configuration. Employing a time dependent extension of the regular Schwarzschild metric, we track the…

广义相对论与量子宇宙学 · 物理学 2026-03-24 Jorge Ovalle , Roberto Casadio , Alexander Kamenshchik

We explore the possibility that spacetime horizons in 4D general relativity can be treated as manifestations of higher dimensions that induce fields on our 4D spacetime. In this paper we discuss the black hole event horizon, as an example…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Manasse R. Mbonye

We study the timelike geodesics and geodesic deviation for a two-dimensional stringy blackhole spacetime in Schwarzschild gauge. We have analyzed the properties of effective potential along with the structure of the possible orbits for test…

广义相对论与量子宇宙学 · 物理学 2014-09-23 Rashmi Uniyal , Hemwati Nandan , K. D. Purohit

The holographic conjecture for black holes localized on a 3-brane in Randall-Sundrum braneworld models RS2 predicts the existence of a classical 5D time dependent solution dual to a 4D evaporating black hole. After briefly reviewing recent…

高能物理 - 理论 · 物理学 2008-11-26 Alessandro Fabbri , Giovanni Paolo Procopio

The linear response of a Schwarzschild black hole to an external quadrupolar perturbation is studied in analogy to a mechanical electrodynamical system, with the goal to describe the gravitational polarizability. Its causality properties…

广义相对论与量子宇宙学 · 物理学 2025-04-03 Gabriel Vidal , Gabriel M. Dantas , Riccardo Sturani , Gabriel Menezes

We continue our study of the global properties of the z=2 Schroedinger space-time. In particular, we provide a codimension 2 isometric embedding which naturally gives rise to the previously introduced global coordinates. Furthermore, we…

高能物理 - 理论 · 物理学 2014-11-21 Matthias Blau , Jelle Hartong , Blaise Rollier

We obtain magnetic black-hole solutions in arbitrary $n(\ge 4)$ even dimensions for an action given by the Einstein-Gauss-Bonnet-Maxwell-$\Lambda$ pieces with the $F^4$ gauge-correction terms. This action arises in the low energy limit of…

高能物理 - 理论 · 物理学 2011-03-23 Hideki Maeda , Mokhtar Hassaine , Cristian Martinez

Assuming the four-dimensional space-time to be a general warped product of two surfaces we reduce the four-dimensional Einstein equations to a two-dimensional problem which can be solved. All global vacuum solutions are explicitly…

广义相对论与量子宇宙学 · 物理学 2009-10-31 M. O. Katanaev , T. Kloesch , W. Kummer

We study physical properties and global structures of a time-dependent, spherically symmetric solution obtained via the dimensional reduction of intersecting M-branes. We find that the spacetime describes a maximally charged black hole…

高能物理 - 理论 · 物理学 2010-04-06 Kei-ichi Maeda , Masato Nozawa

The conformal scalar propagator as an explicit function of the Schwarzschild black-hole space-time has been established in the preceding three projects. The present project examines the precise relation which that propagator has to the…

高能物理 - 理论 · 物理学 2025-03-04 George Tsoupros

In this paper we present an exact solution of Einstein's field equations describing the Schwarzschild black hole in dark energy background. It is also regarded as an embedded solution that the Schwarzschild black hole is embedded into the…

广义相对论与量子宇宙学 · 物理学 2014-09-30 Ngangbam Ishwarchandra , Ng. Ibohal , K. Yugindro Singh

We obtain a generalized Schwarzschild (GS-) and a generalized Reissner-Nordstrom (GRN-) black hole geometries in (3+1)-dimensions, in a noncommutative string theory. In particular, we consider an effective theory of gravity on a curved…

高能物理 - 理论 · 物理学 2008-11-26 Supriya Kar , Sumit Majumdar
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