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We discuss the cosmological evolution of the Weyl conformal geometry and its associated Weyl quadratic gravity. The Einstein gravity (with a positive cosmological constant) is recovered in the spontaneously broken phase of Weyl gravity;…

General Relativity and Quantum Cosmology · Physics 2022-06-24 D. M. Ghilencea , T. Harko

We study linear perturbations around a static and spherically symmetric black hole solution in spatially covariant gravity with just two tensorial degrees of freedom. In this theory, gravity modification is characterized by a single…

General Relativity and Quantum Cosmology · Physics 2024-02-20 Jin Saito , Tsutomu Kobayashi

The electromagnetic (EM) perturbations of the black hole solutions in general relativity coupled to nonlinear electrodynamics (NED) are studied for both electrically and magnetically charged black holes, assuming that the EM perturbations…

General Relativity and Quantum Cosmology · Physics 2018-05-02 Bobir Toshmatov , Zdeněk Stuchlík , Jan Schee , Bobomurat Ahmedov

We consider perturbations of a Schwarzschild black hole that can be of both even and odd parity, keeping terms up to second order in perturbation theory, for the $\ell=2$ axisymmetric case. We develop explicit formulae for the evolution…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Carlos O. Nicasio , Reinaldo Gleiser , Jorge Pullin

We analyze time evolution of a spherically-symmetric collapsing matter from a point of view that black holes evaporate by nature. We consider conformal matters and solve the semi-classical Einstein equation $G_{\mu\nu}=8\pi G \langle…

High Energy Physics - Theory · Physics 2017-01-25 Hikaru Kawai , Yuki Yokokura

We consider numerical black hole solutions in the Weyl conformal geometry, and its associated conformally invariant Weyl quadratic gravity. In this model Einstein gravity (with a positive cosmological constant) is recovered in the…

General Relativity and Quantum Cosmology · Physics 2024-11-18 Jin-Zhao Yang , Shahab Shahidi , Tiberiu Harko

Using Leaver's continue fraction and time domain method, we investigate the wave dynamics of phantom scalar perturbation in the background of Schwarzschild black hole. We find that the presence of the negative kinetic energy terms modifies…

General Relativity and Quantum Cosmology · Physics 2009-01-16 Songbai Chen , Jiliang Jing , Qiyuan Pan

In this work we study the spectral dimensionality of spacetime around a radiating Schwarzschild black hole using a recently introduced formalism of quantum gravity, where the alterations of the gravitational field produced by the radiation…

General Relativity and Quantum Cosmology · Physics 2025-05-07 Mauricio Bellini , Juan Ignacio Musmarra , Pablo Alejandro Sanchez , Alan Sebastian Morales

In this work we have derived the evolution equation for gravitational perturbation in four dimensional spacetime in presence of a spatial extra dimension. The evolution equation is derived by perturbing the \emph{effective} gravitational…

General Relativity and Quantum Cosmology · Physics 2018-06-06 Sumanta Chakraborty , Kabir Chakravarti , Sukanta Bose , Soumitra SenGupta

Linear perturbations of spherically symmetric spacetimes in general relativity are described by radial wave equations, with potentials that depend on the spin of the perturbing field. In previous work we studied the quasinormal mode…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Ryan McManus , Emanuele Berti , Caio F. B. Macedo , Masashi Kimura , Andrea Maselli , Vitor Cardoso

We investigate generation of electromagnetic radiation by gravitational waves interacting with a strong magnetic field in the vicinity of a vibrating Schwarzschild black hole. Such an effect may play an important role in gamma-ray bursts…

Astrophysics · Physics 2009-11-10 C. Clarkson , M. Marklund , G. Betschart , P. Dunsby

We study the orbital evolution of a radiation-damped binary in the extreme mass ratio limit, and the resulting waveforms, to one order beyond what can be obtained using the conservation laws approach. The equations of motion are solved…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Lior M. Burko

The mass of a black hole can dynamically evolve due to various physical processes, such as for instance accretion, Hawking radiation, absorption of gravitational/electromagnetic waves, superradiance, etc. This evolution can have an impact…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Lodovico Capuano , Luca Santoni , Enrico Barausse

In this paper we revisit non-spherical perturbations of the Schwarzschild black hole in the context of $f(R)$ gravity. Previous studies were able to demonstrate the stability of the $f(R)$ Schwarzschild black hole against gravitational…

General Relativity and Quantum Cosmology · Physics 2015-08-04 Geraint Pratten

Interesting phenomena and problems arising from the coupling of large-scale electromagnetic fields and spacetime curvature, are introduced and studied within this thesis. From electromagnetic wave propagation in curved spacetime to…

General Relativity and Quantum Cosmology · Physics 2024-03-05 Panagiotis Mavrogiannis

The evolution of electromagnetic and Dirac perturbations in the spacetime geometry of Kehagias-Sfetsos(KS) black hole in the deformed Horava-Lifshitz(HL) gravity is investigated and the associated quasinormal modes are evaluated using time…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Nijo Varghese , V C Kuriakose

We investigate the equation of motion for photons with Weyl corrections in a Kerr black hole spacetime in a small coupling case. Our results show that Weyl corrections yield phenomena of birefringence. The light rays propagating in the…

General Relativity and Quantum Cosmology · Physics 2023-12-27 Songbai Chen , Jiliang Jing

We report on critical phenomena in the gravitational collapse of the electromagnetic field in axisymmetry using cylindrical coordinates. We perform detailed numerical simulations of four families of dipole and quadrupole initial data…

General Relativity and Quantum Cosmology · Physics 2023-09-28 Gray D. Reid , Matthew W. Choptuik

The \textit{axial} electromagnetic (EM) perturbations of the black hole (BH) solutions in general relativity coupled to nonlinear electrodynamics (NED) were studied for both electrically and magnetically charged BHs, assuming that the EM…

General Relativity and Quantum Cosmology · Physics 2018-10-31 Bobir Toshmatov , Zdeněk Stuchlík , Bobomurat Ahmedov

Static spherically symmetric black holes are discussed in the framework of higher dimensional gravity with quadratic in curvature terms. Such terms naturally arise as a result of quantum corrections induced by quantum fields propagating in…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Valeri P. Frolov , Ilya L. Shapiro