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We consider Kerr-AdS black holes with equal angular momenta in arbitrary odd spacetime dimensions \ge 5. Twisting the Killing vector fields of the black holes, we reproduce the compact Sasaki-Einstein manifolds constructed by Gauntlett,…

High Energy Physics - Theory · Physics 2009-11-10 Yoshitake Hashimoto , Makoto Sakaguchi , Yukinori Yasui

In this paper, we extend Chandrasekhar's method of calculating rotating black holes into $f(R)$ theory. We consider the Ricci scalar is a constant and derive the Kerr and Kerr-Ads metric by using the analytical mathematical method. Suppose…

General Relativity and Quantum Cosmology · Physics 2025-09-17 Ping Li , Yong-qiang Liu , Jiang-he Yang , Siwei Xu , Xiang-hua Zhai

The analogy between sound wave propagation and light waves led to the study of acoustic holes, the acoustic analogues of black holes. Many black hole features have their counterparts in acoustic holes. The Kerr metric, the rotating metric…

General Relativity and Quantum Cosmology · Physics 2013-12-31 José P. S. Lemos

The harmonic metric for a moving Kerr black hole is presented in the second post-Minkowskian approximation. It is further demonstrated that the obtained metric is consistent with the Li\'{e}nard-Wiechert gravitational potential for a moving…

General Relativity and Quantum Cosmology · Physics 2020-07-28 Guansheng He , Chunhua Jiang , Wenbin Lin

We present the metric for a rotating black hole with a cosmological constant and with arbitrary angular momenta in all higher dimensions. The metric is given in both Kerr-Schild and Boyer-Lindquist form. In the Euclidean-signature case, we…

High Energy Physics - Theory · Physics 2010-04-06 G. W. Gibbons , H. Lu , D. N. Page , C. N. Pope

Taking advantage of the natural length scale set by the cosmological constant $\Lambda>0$, conditions on the parameters $(\Lambda, M, a^{2})$ have been found, so that a Kerr-de Sitter specetime either describes a black hole with well…

General Relativity and Quantum Cosmology · Physics 2015-10-07 Kayll Lake , Thomas Zannias

We study the properties of black holes and naked singularities by considering stationary observers and light surfaces in Kerr spacetimes. We reconsider the notion of Killing horizons from a special perspective by exploring the entire family…

General Relativity and Quantum Cosmology · Physics 2019-03-27 D. Pugliese , H. Quevedo

In recent years, the shape of the photon ring in black holes images has been argued to provide a sharp test of the Kerr hypothesis for future black hole imaging missions. In this work, we confront this proposal to beyond Kerr geometries and…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Jibril Ben Achour , Eric Gourgoulhon , Hugo Roussille

We present here the general expressions for the acceleration of massive test particles along the symmetry axis of the Kerr metric, and then study the main properties of this acceleration in different regions of the spacetime. In particular,…

General Relativity and Quantum Cosmology · Physics 2016-05-09 J. Gariel , N. O. Santos , Anzhong Wang

The behavior of spin-half particles is discussed in the 3 + 1-dimensional constant curvature black hole (CCBH) spacetime. We use Schwarzschild-like coordinates, valid outside the black hole event horizon. The constant time surfaces…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Banibrata Mukhopadhyay , Kaushik Ghosh

We consider Kerr spacetimes with parameters a and M such that |a|<< M, Kerr-Newman spacetimes with parameters |Q|<< M, |a|<< M, and more generally, stationary axisymmetric black hole exterior spacetimes which are sufficiently close to a…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Mihalis Dafermos , Igor Rodnianski

We construct a fully analytic, general relativistic, nonspinning black hole binary spacetime that approximately solves the vacuum Einstein equations everywhere in space and time for black holes sufficiently well separated. The metric is…

General Relativity and Quantum Cosmology · Physics 2014-05-13 Bruno C. Mundim , Hiroyuki Nakano , Nicolás Yunes , Manuela Campanelli , Scott C. Noble , Yosef Zlochower

We examine supersymmetry of four-dimensional asymptotically anti-de Sitter (AdS) dyonic black holes in the context of gauged N=2 supergravity. Our calculations concentrate on black holes with unusual topology and their rotating…

High Energy Physics - Theory · Physics 2008-11-26 Marco M. Caldarelli , Dietmar Klemm

We discuss parameterizations of black-hole spacetimes in and beyond General Relativity in view of their symmetry constraints: within the class of axisymmetric, stationary spacetimes, we propose a parameterization that includes non-circular…

General Relativity and Quantum Cosmology · Physics 2022-06-14 Héloïse Delaporte , Astrid Eichhorn , Aaron Held

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 consider quantum effects of gravitational and electromagnetic fields in spherically symmetric black hole spacetimes in the asymptotic safety scenario. Introducing both the running gravitational and electromagnetic couplings from the…

High Energy Physics - Theory · Physics 2021-09-22 Akihiro Ishibashi , Nobuyoshi Ohta , Daiki Yamaguchi

We obtain a characterization of the Kerr metric among stationary, asymptotically flat, vacuum spacetimes, which extends the characterization in terms of the Simon tensor (defined only in the manifold of trajectories) to the whole spacetime.…

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

We consider the asymptotically flat double-Kerr solution for two equal mass black holes with either the same or opposite angular momentum and with a massless strut between them. For fixed angular momentum and mass, the angular velocity of…

General Relativity and Quantum Cosmology · Physics 2009-07-09 Miguel S. Costa , Carlos A. R. Herdeiro , Carmen Rebelo

A de Sitter black hole or a black hole spacetime endowed with a positive cosmological constant has two Killing horizons -- a black hole and a cosmological event horizon surrounding it. It is natural to expect that the total…

General Relativity and Quantum Cosmology · Physics 2016-03-08 Sourav Bhattacharya

For a black hole's spacetime manifold in the Euclidean signature, its metric is positive definite and therefore a Riemannian manifold. It can be regarded as a gravitational instanton and a topological characteristic which is the Euler…

High Energy Physics - Theory · Physics 2008-11-26 Zheng Ze Ma