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We study the final state of the gravitational collapse of uniformly rotating supramassive neutron stars by axisymmetric simulations in full general relativity. The rotating stars provided as the initial condition are marginally stable…

Astrophysics · Physics 2008-11-26 Masaru Shibata

We perform 3D numerical simulations in full general relativity to study the stability of rapidly rotating, supramassive neutron stars at the mass-shedding limit to dynamical collapse. We adopt an adiabatic equation of state with $\Gamma =…

Astrophysics · Physics 2009-10-31 Masaru Shibata , Thomas W. Baumgarte , Stuart L. Shapiro

The Unruh vacuum is widely used as quantum state to describe black hole evaporation since near the horizon it reproduces the physical state of a quantum field, the so called in-vacuum, in the case the black hole is formed by gravitational…

General Relativity and Quantum Cosmology · Physics 2024-01-23 Roberto Balbinot , Alessandro Fabbri

An exact and analytical solution, in four-dimensional general relativity, describing a collinear array of an arbitrary number of Kerr black holes inside an expanding bubble of nothing is built, thanks to the inverse scattering technique.…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Marco Astorino

We consider the entanglement dynamics between two-level atoms in a rotating black hole background. In our model the two-atom system is envisaged as an open system coupled with a massless scalar field prepared in one of the physical vacuum…

General Relativity and Quantum Cosmology · Physics 2018-05-09 G. Menezes

In this paper, we discuss the Unruh state for a free scalar quantum field on Kerr-de Sitter under the assumption of mode stability. We summarise the proof of its Hadamard property that was previously given in [C.Klein, Annales Henri…

General Relativity and Quantum Cosmology · Physics 2026-02-23 Christiane K. M. Klein

Formulation of the Lagrangian approach is presented for studying features of motions of stellar bodies with non-zero rest mass in the vicinity of fast-spinning black holes. The structure of Lagrangian is discussed. The general method is…

Astrophysics of Galaxies · Physics 2018-08-02 Elizabeth P. Tito , Vadim I. Pavlov

Perturbations of stars and black holes have been one of the main topics of relativistic astrophysics for the last few decades. They are of particular importance today, because of their relevance to gravitational wave astronomy. In this…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Kostas D. Kokkotas , Bernd G. Schmidt

We further investigate the runaway instability of relativistic tori around black holes assuming a power law distribution of the specific angular momentum. We neglect the self-gravity of the torus; thus the gravitational field of the system…

Astrophysics · Physics 2007-05-23 M. A. Abramowicz , V. Karas , A. Lanza

We investigate the stability of $f(R)$-rotating (Kerr) black hole obtained from a limited form of $f(R)$ gravity. In order to avoid the difficulty of handling fourth order linearized equations, we transform this form of $f(R)$ gravity into…

General Relativity and Quantum Cosmology · Physics 2011-08-12 Yun Soo Myung

We investigate the stability of black holes in the viable model of $f(R)=R+R^2$ gravity which was known to be the best fit for inflation. These include Schwarzschild and Kerr black holes. Instead of studying the fourth-order linearized…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Yun Soo Myung

In a recent paper by G\'erard, H\"afner, and Wrochna, the Unruh state for massless fermions on a Kerr spacetime was constructed and the authors showed its Hadmard property in the case of very slowly rotating black holes $\vert a\vert\ll M$.…

Mathematical Physics · Physics 2026-01-14 Dietrich Häfner , Christiane Klein

The Schwarzschild interior solution, or `Schwarzschild star', which describes a spherically symmetric homogeneous mass with constant energy density, shows a divergence in pressure when the radius of the star reaches the…

General Relativity and Quantum Cosmology · Physics 2020-10-05 Camilo Posada

Recently, a class of Gauss-Bonnet extended Starobinsky gravity was proposed, allowing black holes to carry ghost-free massive scalar hair for the first time without requiring additional matter fields. This intriguing feature offers a new…

General Relativity and Quantum Cosmology · Physics 2024-12-17 Zhonghai Liu , Ziyi Li , Liang Liang , Shoulong Li , Hongwei Yu

Simulations in general relativity show that the outcome of collapse of a marginally unstable, uniformly rotating star spinning at the mass-shedding limit depends critically on the equation of state. For a very stiff equation of state, which…

Astrophysics · Physics 2009-11-10 Stuart L. Shapiro

We study the stability of a rotating (Kerr) black hole in the viable $f(R)$ gravity. The linearized-Ricci scalar equation shows the superradiant instability, leading to the instability of the Kerr black hole in $f(R)$ gravity.

General Relativity and Quantum Cosmology · Physics 2013-11-27 Yun Soo Myung

Vortices and black holes set the scene for many interesting dynamical processes in physics. Here, we study the dynamical instability of quantised vortices and rotational superradiance around rotating black holes, illustrating in the process…

We investigate the dynamics of relativistic spinning test particles in the spacetime of a rotating black hole using the Papapetrou equations. We use the method of Lyapunov exponents to determine whether the orbits exhibit sensitive…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Michael D. Hartl

We investigate the evaporation process of a Kerr-de Sitter black hole with the Unruh-Hawking-like vacuum state, which is a realistic vacuum state modelling the evaporation process of a black hole originating from gravitational collapse. We…

General Relativity and Quantum Cosmology · Physics 2021-10-12 Ruth Gregory , Ian G. Moss , Naritaka Oshita , Sam Patrick

In electrovacuum stationary, asymptotically flat black holes in scalar-tensor theories of gravity are described by the Kerr-Newman family of solutions, just as in general relativity. We show that there exist two mechanisms which can render…

General Relativity and Quantum Cosmology · Physics 2014-01-23 Vitor Cardoso , Isabella P. Carucci , Paolo Pani , Thomas P. Sotiriou
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