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We present new regular black hole solutions in general relativity (GR) within a static, spherically symmetric framework governed by a variable equation of state, following the approach of [Class. Quant. Grav. 42, 025024 (2025)]. The matter…

We study the perturbative behaviour of topological black holes. We calculate both analytically and numerically the quasi-normal modes of scalar perturbations. In the case of small black holes we find discontinuities of the quasi-normal…

High Energy Physics - Theory · Physics 2009-04-17 George Koutsoumbas , Eleftherios Papantonopoulos , George Siopsis

We study gravitational perturbations of slowly-rotating black holes in a general effective-field-theory extension of general relativity that includes up to eight-derivative terms. We show that two Schr\"odinger-like equations with…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Pablo A. Cano , Kwinten Fransen , Thomas Hertog , Simon Maenaut

Gravitational properties of a hedge-hog type topological defect in two extra dimensions are considered in General Relativity employing a vector as the order parameter. All previous considerations were done using the order parameter in the…

General Relativity and Quantum Cosmology · Physics 2010-11-02 Boris E. Meierovich

We study the stability of $D \geq 7$ asymptotically flat black holes rotating in a single two-plane against tensor-type gravitational perturbations. The extensive search of quasinormal modes for these black holes did not indicate any…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Hideo Kodama , R. A. Konoplya , Alexander Zhidenko

Starting from a spherically symmetric tetrad with three unknown functions of the radial coordinate, a general solution of M{\o}ller's field equations in case of spherical symmetry nonsingular black hole is derived. The previously obtained…

General Relativity and Quantum Cosmology · Physics 2021-10-20 Gamal G. L. Nashed

Born-Infeld black holes in the Scalar-Tensor Theories of Gravity, in the case of massless scalar field, have been recently obtained. The aim of the current paper is to study the effect from the inclusion of a potential for the scalar field…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Ivan Zh. Stefanov , Daniela A. Georgieva , Stoytcho S. Yazadjiev , Michail D. Todorov

We propose a simple method to prove the linear mode stability of a black hole when the perturbed field equations take the form of a system of coupled Schr\"odinger equations. The linear mode stability of the spacetime is guaranteed by the…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Masashi Kimura , Takahiro Tanaka

Dynamical Chern-Simons gravity has an interesting feature that the parity violating term exists, and the coupling is determined by a dynamical scalar field. When the spacetime has spherical symmetry, the parity violating term vanishes, and…

General Relativity and Quantum Cosmology · Physics 2018-08-15 Masashi Kimura

In this paper, we present a detailed analysis of first-order perturbations of the Kerr metric in the slow-rotation limit. We perform the calculation by perturbing the Schwarzschild metric plus up to second-order corrections in the spin in…

General Relativity and Quantum Cosmology · Physics 2023-06-14 Nicola Franchini

By calculating the Newman-Penrose Weyl tensor components of a perturbed spherically symmetric space-time with respect to invariantly defined classes of null tetrads, we give a physical interpretation, in terms of gravitational radiation, of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Brien C. Nolan

We study the axial perturbations of spontaneously scalarized black holes in Einstein-Gauss-Bonnet (EGB) theories. We consider the nodeless solutions of the fundamental branch of the model studied in [1], which possesses a region of radially…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Jose Luis Blázquez-Salcedo , Daniela D. Doneva , Sarah Kahlen , Jutta Kunz , Petya Nedkova , Stoytcho S. Yazadjiev

We embed Kerr-Newman-AdS black holes into $\mathcal{N} = 8$ gauged supergravity and study quadratic fluctuations around the black hole backgrounds of all fields in the larger theory. The equations of motion of the perturbations are…

High Energy Physics - Theory · Physics 2024-11-26 Nizar Ezroura , Finn Larsen

We study the gravitational perturbation theory of black holes in noncommutative spacetimes with noncommutativity of the type $[t\stackrel{\star}{,} r] = i a \alpha A(r)$ and $[\varphi \stackrel{\star}{,} r] = i a \beta A(r)$ for arbitrary…

General Relativity and Quantum Cosmology · Physics 2026-03-03 Nikola Herceg , Tajron Jurić , A. Naveena Kumara , Andjelo Samsarov , Ivica Smolić

Perturbations of Kerr spacetime are typically studied with the Teukolsky formalism, in which a pair of invariant components of the perturbed Weyl tensor are expressed in terms of separable modes that satisfy ordinary differential equations.…

General Relativity and Quantum Cosmology · Physics 2022-04-13 Sam R. Dolan , Chris Kavanagh , Barry Wardell

The recent observations of neutron star mergers have changed our perspective on scalar- tensor theories of gravity, favouring models where gravitational waves travel at the speed of light. In this work we consider a scalar-tensor set-up…

General Relativity and Quantum Cosmology · Physics 2018-08-15 Javier Chagoya , Gianmassimo Tasinato

In this work we have studied the singular behaviour of gravitational theories with non symmetric connections. For this purpose we introduce a new criteria for the appearance of singularities based on the existence of black/white hole…

General Relativity and Quantum Cosmology · Physics 2017-04-12 J. A. R. Cembranos , J. Gigante Valcarcel , F. J. Maldonado Torralba

We investigate black hole solutions with time-dependent (scalar) hair in scalar-tensor theories. Known exact solutions exist for such theories at the background level, where the metric takes on a standard GR form (e.g. Schwarzschild-de…

General Relativity and Quantum Cosmology · Physics 2025-06-11 Sergi Sirera , Johannes Noller

We consider a general static, spherically symmetric background in the quadratic beyond Horndeski theory and analyse the behaviour of linear perturbations in both parity odd and parity even sectors. We derive a full set of stability…

General Relativity and Quantum Cosmology · Physics 2025-01-20 S. Mironov , V. Volkova

We have studied quasinormal modes of scalar perturbations of a black hole in massive gravity. The parameters of the theory, such as the mass of the black hole, the scalar charge of the black hole and the spherical harmonic index is varied…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Sharmanthie Fernando , Tyler Clark