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In this work, we will explore the precession of particle spins in spherical spacetimes. We first argue that the geometrical optics (WKB) approximation is insufficient, due to the absence of a glory spot in the backward scattering of…

General Relativity and Quantum Cosmology · Physics 2025-02-13 Xiankai Pang , Qingquan Jiang , Yunchuan Xiang , Gao-Ming Deng

The Schwarzschild metric giving the space time due to a spherically symmetric object is derived in the background of the Robertson Walker metric. In other words the two metrics are merged. It is found that under certain conditions the…

General Physics · Physics 2008-12-22 Bethmini Senevirathne , Nalin de Silva

We obtain a geometrical condition on vacuum, stationary, asymptotically flat spacetimes which is necessary and sufficient for the spacetime to be locally isometric to Kerr. Namely, we prove a theorem stating that an asymptotically flat,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Marc Mars

We employ the accretion disk reflection model RELXILL_NK to test the spacetime geometry around the stellar-mass black hole in GRS 1915+105. We adopt the Johannsen metric with the deformation parameters $\alpha_{13}$ and $\alpha_{22}$, for…

General Relativity and Quantum Cosmology · Physics 2019-04-15 Yuexin Zhang , Askar B. Abdikamalov , Dimitry Ayzenberg , Cosimo Bambi , Thomas Dauser , Javier A. Garcia , Sourabh Nampalliwar

According to the general-relativistic no-hair theorem, astrophysical black holes depend only on their masses and spins and are uniquely described by the Kerr metric. Mass and spin are the first two multipole moments of the Kerr spacetime…

High Energy Astrophysical Phenomena · Physics 2016-05-27 Tim Johannsen

We introduce a new general-relativistic timing observable that measures the breaking of reflection symmetry in photon arrival times caused by black hole spin. Using backward ray tracing in the Kerr spacetime, we construct time-delay maps…

High Energy Astrophysical Phenomena · Physics 2026-05-14 Shakibul Chowdhury

We develop a general perturbative analysis on vacuum spacetimes which can be constructed by generating manifolds of revolution around a curve, and apply it to the Schwarzschild metric. The following different perturbations are carried out…

General Relativity and Quantum Cosmology · Physics 2016-02-25 Vee-Liem Saw

An exact solution of Einstein's field equations in empty space first found in 1985 by Quevedo and Mashhoon is analyzed in detail. This solution generalizes Kerr spacetime to include the case of matter with arbitrary mass quadrupole moment…

General Relativity and Quantum Cosmology · Physics 2009-12-10 Donato Bini , Andrea Geralico , Orlando Luongo , Hernando Quevedo

We present a new analytic approach for the study of late time evolution of linear test-fields, propagating on the exterior of black holes. This method provides a calculation scheme applicable to Kerr black holes (for which case no analytic…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Leor Barack

We make use of Friedrich's construction of the cylinder at spatial infinity to relate the logarithmic terms appearing in asymptotic expansions of components of the Weyl tensor to the freely specifiable parts of time symmetric initial data…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Edgar Gasperin , Juan A. Valiente Kroon

In this paper we try to clarify that a regular metric can generate a singular spacetime. Our work focuses on a static and spherically symmetric spacetime in which regularity exists when all components of the Riemann tensor are finite. There…

General Relativity and Quantum Cosmology · Physics 2023-11-07 Manuel E. Rodrigues , Henrique A. Vieira

Over the past few decades, significant effort has been directed towards developing various regularized models for compact objects. Recently, a new observable-based parametrization was introduced to account for black hole deformations in a…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Mattia Damia Paciarini , Mikołaj Myszkowski , Francesco Sannino , Vania Vellucci

Starting from Post-Newtonian predictions for a system of $N$ infalling masses from the infinite past, we formulate and solve a scattering problem for the system of linearised gravity around Schwarzschild as introduced in [DHR19]. The…

General Relativity and Quantum Cosmology · Physics 2026-02-06 Lionor Kehrberger , Hamed Masaood

We investigate Maxwell-scalar models on radially symmetric spacetimes in which the gauge and scalar fields are coupled via the electric permittivity. We find the conditions that allow for the presence of minimum energy configurations. In…

General Relativity and Quantum Cosmology · Physics 2025-01-22 I. Andrade , D. Bazeia , M. A. Marques , R. Menezes , G. J. Olmo

We generalize the notion of a dielectric analog Schwarzschild black hole model to analog models of arbitrary space-times; in particular, the approach is not restricted to static space-times. This is done by establishing a correspondence…

General Relativity and Quantum Cosmology · Physics 2011-01-20 Robert T. Thompson , Jörg Frauendiener

We investigate the massless scalar field perturbations of a new loop quantum gravity motivated regular black hole proposed by Ashtekar {\it et al.} in [Phys.Rev.Lett. 121, 241301 (2018), Phys.Rev.D 98, 126003 (2018)]. The spacetime of this…

General Relativity and Quantum Cosmology · Physics 2021-04-28 Ramin G. Daghigh , Michael D. Green , Gabor Kunstatter

We describe a new numerical algorithm for ray tracing in the external spacetimes of spinning compact objects characterized by arbitrary quadrupole moments. Such spacetimes describe non-Kerr vacuum solutions that can be used to test the…

High Energy Astrophysical Phenomena · Physics 2015-05-20 Dimitrios Psaltis , Tim Johannsen

We formulate and prove the stability statement associated with the spacetime Penrose inequality for $n$-dimensional spherically symmetric, asymptotically flat initial data satisfying the dominant energy condition. We assume that the ADM…

General Relativity and Quantum Cosmology · Physics 2022-12-29 Emily Schaal

The scattering of massless waves of helicity $|h|=0,\frac{1}{2},1$ in Schwarzschild and Kerr backgrounds is revisited in the long-wavelenght regime. Using a novel description of such backgrounds in terms of gravitating massive particles, we…

High Energy Physics - Theory · Physics 2023-02-22 Yilber Fabian Bautista , Alfredo Guevara , Chris Kavanagh , Justin Vines

Making use of the Kerr theorem for shear-free null congruences and of Newman's representation for a virtual charge ``moving'' in complex space-time, we obtain an axisymmetric time-dependent generalization of the Kerr congruence, with a…

General Relativity and Quantum Cosmology · Physics 2009-10-29 Vladimir V. Kassandrov