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Related papers: Noncommutative Regge-Wheeler potential: some nonpe…

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The lack of a positive-definite and conserved energy is a serious obstacle in the black hole stability problem. In this work, we will show that there exists a positive-definite and conserved Hamiltonian energy for axially symmetric linear…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Nishanth Gudapati

We show that both the interior region $r<M-\sqrt{M^2-a^2}$ of a Kerr black hole and the $a^2>M^2$ Kerr naked singularity admit unstable solutions of the Teukolsky equation for any value of the spin weight. For every harmonic number there is…

General Relativity and Quantum Cosmology · Physics 2012-08-10 Gustavo Dotti , Reinaldo J. Gleiser , Ignacio F. Ranea-Sandoval

We study the properties of the outgoing gravitational wave produced when a non-spinning black hole is excited by an ingoing gravitational wave. Simulations using a numerical code for solving Einstein's equations allow the study to be…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yosef Zlochower , Roberto Gomez , Sascha Husa , Luis Lehner , Jeffrey Winicour

Following a program on black hole nonmodal linear stability initiated in Phys.\ Rev.\ Lett.\ {\bf 112} (2014) 191101, we study odd linear perturbations of the Einstein-Maxwell equations around a Reissner-Nordstr\"om (A)dS black hole. We…

General Relativity and Quantum Cosmology · Physics 2017-07-05 Julián M. Fernández Tío , Gustavo Dotti

We study odd parity perturbations of spherically symmetric black holes with time-dependent scalar hair in shift-symmetric higher-order scalar-tensor theories. The analysis is performed in a general way without assuming the degeneracy…

General Relativity and Quantum Cosmology · Physics 2021-04-28 Keitaro Tomikawa , Tsutomu Kobayashi

We generalize the action found by 't Hooft, which describes the gravitational interaction between ingoing and outgoing particles in the neighbourhood of a black hole. The effect of this back-reaction is that of a shock wave, and it provides…

General Relativity and Quantum Cosmology · Physics 2009-10-30 S. de Haro

In the presence of non-minimal gravitational couplings, matter field perturbations on a static black hole spacetime may develop unphysical poles in their linearized equations. Physical solutions confined in the domain between the event…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Hsu-Wen Chiang , Sebastian Garcia-Saenz , Aofei Sang

We consider dynamics of a quantum scalar field, minimally coupled to classical gravity, in the near-horizon region of a Schwarzschild black-hole. It is described by a static Klein-Gordon operator which in the near-horizon region reduces to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Martinis , V. Mikuta-Martinis

We consider a cosmological model based upon a non-canonical noncommutative extension of the Heisenberg-Weyl algebra to address the thermodynamical stability and the singularity problem of both the Schwarzschild and the Kantowski-Sachs black…

High Energy Physics - Theory · Physics 2011-07-08 Catarina Bastos , Orfeu Bertolami , Nuno Costa Dias , João Nuno Prata

This Letter deals with the gravitational angular momentum carried by axial (odd-parity) perturbations of the Bardeen regular black hole within the teleparallel equivalent of general relativity (TEGR). Using the Hamiltonian definition of…

General Relativity and Quantum Cosmology · Physics 2026-05-25 S. C. Ulhoa , F. L. Carneiro , B. C. C. Carneiro

We derive the equation governing the axial-perturbations in the space-time of a non-rotating uncharged primordial black hole (PBH), produced in early Universe, whose metric is taken as the generalized McVittie metric. The generalized…

General Relativity and Quantum Cosmology · Physics 2022-12-26 Arnab Sarkar , Sabiruddin Molla , K. Rajesh Nayak

Perturbative calculations of gravitational radiation near the horizons of rotating black holes in the frequency domain have been plagued by divergence issues. We resolve this longstanding obstacle by constructing a nonsingular source term…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Rico K. L. Lo , Yucheng Yin

We study the linear response of four dimensional magnetized black holes and regular topological stars arising from dimensional compactification of Einstein-Maxwell theory in five dimensions. We consider both radial and nonradial…

General Relativity and Quantum Cosmology · Physics 2024-10-03 Alexandru Dima , Marco Melis , Paolo Pani

We consider axial (or odd-parity) perturbations of non-spinning hairy black holes (BH) in shift-symmetric DHOST (Degenerate Higher-Order Scalar-Tensor) theories, including terms quartic and cubic in second derivatives of the scalar field.…

General Relativity and Quantum Cosmology · Physics 2023-12-12 Karim Noui , Hugo Roussille , David Langlois

We show that rapidly-spinning black holes can display turbulent gravitational behavior which is mediated by a new type of parametric instability. This instability transfers energy from higher temporal and azimuthal spatial frequencies to…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Huan Yang , Aaron Zimmerman , Luis Lehner

Gravitational wave observations can test the validity of General Relativity (GR) in the strong field regime. Certain classes of scalar-tensor theories indeed predict that compact objects can exhibit significant deviations from their GR…

General Relativity and Quantum Cosmology · Physics 2024-11-13 Georgios Antoniou , Caio F. B. Macedo , Andrea Maselli , Thomas P. Sotiriou

The nonlinear stability of Kerr-Newman black holes (KNBHs) is investigated by performing numerical simulations within the full Einstein-Maxwell theory. We take as initial data a KNBH with mass $M$, angular momentum to mass ratio $a$ and…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Miguel Zilhão , Vitor Cardoso , Carlos Herdeiro , Luis Lehner , Ulrich Sperhake

The Regge-Wheeler equation for black-hole gravitational waves is analyzed for large negative imaginary frequencies, leading to a calculation of the cut strength for waves outgoing to infinity. In the--limited--region of overlap, the results…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alec Maassen van den Brink

A deformed embedding of the Reissner-Nordstr{\o}m spacetime is constructed within the framework of a noncommutative Riemannian geometry. We find noncommutative corrections to the usual Riemannian expressions for the metric and curvature…

General Relativity and Quantum Cosmology · Physics 2018-05-18 Carlos A. Soto-Campos , Susana Valdez-Alvarado

This work presents a comprehensive investigation of the gravitational phenomena that correspond to a non-commutative (NC) charged black hole, by incorporating NC geometry through a Moyal twist. We derive the deformed metric up to the second…

General Relativity and Quantum Cosmology · Physics 2026-02-26 N. Heidari
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