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We present a new numerical code that evolves a spherically symmetric configuration of collisionless matter in the Brans-Dicke theory of gravitation. In this theory the spacetime is dynamical even in spherical symmetry, where it can contain…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Mark A. Scheel , Stuart L. Shapiro , Saul A. Teukolsky

The detection of gravitational waves from compact binary mergers by the LIGO/Virgo collaboration has, for the first time, allowed for tests of relativistic gravity in the strong, dynamical and nonlinear regime. Outside Einstein's…

General Relativity and Quantum Cosmology · Physics 2023-05-26 Dongjun Li , Pratik Wagle , Yanbei Chen , Nicolás Yunes

We investigate a rotating black hole embedded in a five-dimensional flat bulk by extending the Kerr metric through the Gurses-Gursey line element. Employing Boyer-Lindquist coordinates, we reinterpret the black hole as a charged-like object…

General Relativity and Quantum Cosmology · Physics 2025-10-10 Abraao J. S. Capistrano , Antonio C. Gutierrez-Pineres , Carlos H. Coimbra-Araujo

We propose a two-parameter, static and spherically symmetric regular geometry, which, for specific parameter values represents a regular black hole. The matter required to support such spacetimes within the framework of General Relativity…

General Relativity and Quantum Cosmology · Physics 2024-05-02 Anjan Kar , Sayan Kar

Metric of axially symmetric asymptotically flat black holes in an arbitrary metric theory of gravity can be represented in the general form which depends on infinite number of parameters. We constrain this general class of metrics by…

General Relativity and Quantum Cosmology · Physics 2021-05-20 R. A. Konoplya , A. Zhidenko

In this paper, we employ a ray-tracing algorithm to simulate the shadows of three equal-mass black holes in static equilibrium across a wide parameter space. We find that the shadows consist of a larger primary shadow and several distorted,…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Dan Li , Yuxiang Zuo , Shiyang Hu , Chen Deng , Yu Wang , Wenfu Cao

We study the dynamical Chern-Simons gravity as an effective quantum field theory, and discuss a broad range of its parameter space where the theory is valid. Within that validity range, we show that slowly rotating black holes acquire novel…

High Energy Physics - Theory · Physics 2022-01-12 Stephon Alexander , Gregory Gabadadze , Leah Jenks , Nicolás Yunes

We look for physically realistic initial data in numerical relativity which are in agreement with post-Newtonian approximations. We propose a particular solution of the time-symmetric constraint equation, appropriate to two momentarily…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Luc Blanchet

We study black holes in three-dimensional Chern-Simons gravity with a negative cosmological constant. In particular, we identify how the Chern-Simons interactions between a scattering particle and a black hole project the particle…

High Energy Physics - Theory · Physics 2015-06-26 Jan Troost , Asato Tsuchiya

This paper reviews the basic features of the theory of curvature perturbations in Kerr spacetime, which is customarily written in terms of gauge invariant components of the Weyl tensor which satisfy a perturbation equation known as the…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Ramon Lopez-Aleman

This article outlines our derivation of the second order perturbations to a Schwarzschild black hole, highlighting our use of, and necessary reliance on, computer algebra. The particular perturbation scenario that is presented here is the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 George Davies

The Event Horizon Telescope (EHT) is taking the first images of black holes resolved at horizon scales to measure their shadows and probe accretion physics. A promising avenue for testing the hypothesis that astrophysical black holes are…

High Energy Astrophysical Phenomena · Physics 2020-06-17 Lia Medeiros , Dimitrios Psaltis , Feryal Özel

Testing parity symmetry constitutes a critical aspect in gravitational physics. As a representative parity-violating theory, dynamical Chern-Simons (dCS) gravity has attracted significant attention in recent gravitational wave (GW) studies.…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Zhao Li , Wen Zhao

We investigate the shadow of Kerr-Bertotti-Robinson black holes (KBRBHs), which have a deviation parameter $B$ that captures the effect of an external magnetic field on the spacetime geometry. These spacetimes of Petrov type $D$ are…

General Relativity and Quantum Cosmology · Physics 2026-01-28 Heena Ali , Sushant G. Ghosh

The recent detection of gravitational waves from black hole coalescences and the first image of the black hole shadow enhance the possibilities of testing gravitational theories in the strong-field regime. In this paper, we study the…

General Relativity and Quantum Cosmology · Physics 2020-05-27 Che-Yu Chen

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 study second-order cosmological perturbations in scalar-tensor models of dark energy that satisfy local gravity constraints, including f(R) gravity. We derive equations for matter fluctuations under a sub-horizon approximation and…

Astrophysics · Physics 2010-10-12 Takayuki Tatekawa , Shinji Tsujikawa

From the viewpoint of differential geometry and topology, we investigate the characterization of the shadows in a Kerr spacetime. Two new quantities, the length of the shadow boundary and the local curvature radius are introduced. Each…

General Relativity and Quantum Cosmology · Physics 2019-02-13 Shao-Wen Wei , Yu-Xiao Liu , Robert B. Mann

In the Einstein-Cartan formulation, an iterative procedure to find solutions in non-dynamical Chern-Simons (CS) gravity in vacuum is proposed. The iterations, in powers of a small parameter $\beta$ which codifies the CS coupling, start from…

General Relativity and Quantum Cosmology · Physics 2010-12-21 Mauro Cambiaso , Luis F. Urrutia

We explore whether a new method to solve the constraints of Einstein's equations, which does not involve elliptic equations, can be applied to provide initial data for black holes. We show that this method can be successfully applied to a…

General Relativity and Quantum Cosmology · Physics 2015-06-08 István Rácz , Jeffrey Winicour