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It has recently been pointed out that one can construct invertible conformal transformations with a parity-violating conformal factor, which can be employed to generate a novel class of parity-violating ghost-free metric theories from…

General Relativity and Quantum Cosmology · Physics 2024-05-21 Hiroaki W. H. Tahara , Kazufumi Takahashi , Masato Minamitsuji , Hayato Motohashi

The advent of gravitational wave observation starts a new era of precision tests of gravitational theory. Estimations of black holes mergers should come from any well established gravitational theories, provided that the theory has not been…

General Relativity and Quantum Cosmology · Physics 2020-05-06 Haryanto M. Siahaan

We find an exact spherically symmetric magnetically charged black hole solution to general relativity (GR) coupled to nonlinear electrodynamics (NED) with an appropriate Lagrangian density. In turn, starting with this spherical black hole…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Sushant G. Ghosh , Rahul Kumar walia

In this work, the solution of the Einstein equations for a slowly rotating black hole with Born-Infeld charge is obtained. Geometrical properties and horizons of this solution are analyzed. The conditions when the ADM mass (as in the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Diego Julio Cirilo-Lombardo

We present a new class of stationary charged black hole solutions to five-dimensional Einstein-Maxwell-Chern-Simons theories. We construct the solutions by utilizing so called the squashing transformation. At infinity, our solutions behave…

High Energy Physics - Theory · Physics 2008-12-18 Shinya Tomizawa , Akihiro Ishibashi

Regular rotating black holes are usually described by a metric of the Kerr-Schild form with a particular mass function that is chosen to avoid the ring singularity of the Kerr metric and which approaches the Kerr metric at the asymptotic…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Marcos L. W. Basso , Vilson T. Zanchin

The ability to test general relativity in extreme gravity regimes using gravitational wave observations from current ground-based or future space-based detectors motivates the mathematical study of the symmetries of black holes in modified…

General Relativity and Quantum Cosmology · Physics 2024-01-08 Caroline B. Owen , Nicolás Yunes , Helvi Witek

We obtain rotating solutions of regular black holes which are constructed of de Sitter spacetime with the axisymmetric stationary perturbation within the timelike charged thin shell and the Kerr-Newman geometry with sufficiently small…

General Relativity and Quantum Cosmology · Physics 2015-07-01 Nami Uchikata , Shijun Yoshida

In this paper, we construct a class of (n+1)-dimensional $(n\geq4)$ slowly rotating black hole solutions in Brans-Dicke-Maxwell theory with a quadratic potential. These solutions can represent black holes with inner and outer event…

High Energy Physics - Theory · Physics 2010-07-20 H. Alavirad

Recently a sequence of inequalities relating the black hole horizon, photon sphere, shadow were proposed for spherically symmetric and static black holes, providing the upper bound for given mass. In this paper, we extend the discussion to…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Xing-Hui Feng , H. Lu

We study the Gregory-Laflamme instability of a 5-dimensional slowly rotating black string in which the 4-dimensional section is described by the Kerr black hole. We treat the rotation in a perturbative way introducing a small parameter for…

High Energy Physics - Theory · Physics 2011-06-07 Chul-Moon Yoo , Sugure Tanzawa , Misao Sasaki

The study of shadows of static and rotating black holes immersed in various dark matter halo profiles has gained significant attention in recent years. In this paper, we consider the static black hole solution immersed in three dark matter…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Malihe Heydari-Fard , Mohaddese Heydari-Fard

We extend a recently developed numerical code to obtain stationary, axisymmetric solutions that describe rotating black hole spacetimes in a wide class of modified theories of gravity. The code utilizes a relaxed Newton-Raphson method to…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

General relativity is extended by promoting the three-dimensional gravitational Chern-Simons term to four dimensions. This entails choosing an embedding coordinate v_\mu -- an external quantity, which we fix to be a non-vanishing constant…

General Relativity and Quantum Cosmology · Physics 2014-11-17 R. Jackiw , S. -Y. Pi

The strong gravitational field near massive blackhole is an interesting regime to test General Relativity(GR) and modified gravity theories. The knowledge of spacetime metric around a blackhole is a primary step for such tests. Solving…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Utkarsh Kumar , Sukanta Panda , Avani Patel

In the context of f(R) modified gravity theories, we study the Kerr-Newman black-hole solutions. We study non-zero constant scalar curvature solutions and discuss the metric tensor that satisfies the modified field equations. We determine…

General Relativity and Quantum Cosmology · Physics 2011-10-04 J. A. R. Cembranos , A. de la Cruz-Dombriz , P. Jimeno Romero

Recent measurements of gravitational-wave ringdown following the merger of binary black holes raise the prospect of precision black hole spectroscopy in the near future. To perform the most sensitive tests of the nature of black holes using…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Asad Hussain , Aaron Zimmerman

The recent years witnessed a surge of interest of the lensing of the black holes arising from general as well as other modified theories of gravity due to the experimental data available from the EHT results. The EHT may open a new door…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Md Sabir Ali , Shagun Kaushal

In this paper, we explore the solutions of rotating black holes within the framework of de Rham-Gabadadze-Tolley (dRGT) massive gravity. We provide a detailed, step-by-step analytical derivation of these solutions. Our solutions are…

General Relativity and Quantum Cosmology · Physics 2025-09-17 Ping Li , Jiang-he Yang

We find that a \textit{slowly} rotating axion-modified black hole resulting from the backreaction of an axion field on a rotating Kerr black hole can have a \textit{D-shaped} shadow as that for a \textit{highly} counter-rotating Kerr black…

General Relativity and Quantum Cosmology · Physics 2024-09-24 Xiao-Mei Kuang , Yuan Meng , Eleftherios Papantonopoulos , Xi-Jing Wang