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In this paper we investigate gravitational perturbations of a regular black hole, particularly Bardeen solution. Such system is solution of Einstein equations that do not have a singularity at the origin of the radial symmetry. However it…

General Relativity and Quantum Cosmology · Physics 2014-07-17 S. C. Ulhoa

We present a numerical study of the time evolution of perturbations of rotating black holes. The solutions are obtained by integrating the Teukolsky equation written as a first-order in time, coupled system of equations, in a form that…

General Relativity and Quantum Cosmology · Physics 2009-10-30 W. Krivan , P. Laguna , P. Papadopoulos , N. Andersson

Waves propagating through a gravitational potential exhibit wave-optics effects when their wavelength is not significantly smaller than the lensing scales. We study the propagation of a scalar wave, governed by the Klein-Gordon equation in…

General Relativity and Quantum Cosmology · Physics 2026-01-16 Emma Bruyère , Cyril Pitrou

We present de Sitter Teukolsky waves -- linearised quadrupolar gravitational waves in the transverse-traceless gauge in de Sitter spacetime. In the cosmological constant $\Lambda$ going to zero limit, our solutions match to Teukolsky…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Harsh , Sk Jahanur Hoque , Sitender Pratap Kashyap , Amitabh Virmani

We investigate cosmology-driven modifications to Schwarzschild-like black hole spacetimes and analyze their impact on photon propagation, gravitational lensing, and shadow observation. The gravitational deflection angle is computed using…

General Relativity and Quantum Cosmology · Physics 2025-09-19 Ritesh Pandey , Shubham Kala , Amare Abebe , Hemwati Nandan , G. G. L. Nashed

Quantum gravitational corrections to the entropy of the Schwarzschild black hole, derived using the Wald entropy formula within an effective field theory framework, were presented in [X. Calmet, F. Kuipers Phys.Rev.D 104 (2021) 6, 066012].…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Alexey Dubinsky

We consider the gravitational recoil due to non-reflection-symmetric gravitational wave emission in the context of axisymmetric Robinson-Trautman spacetimes. We show that regular initial data evolve generically into a final configuration…

General Relativity and Quantum Cosmology · Physics 2009-02-23 Rodrigo P. Macedo , Alberto Saa

We study the initial value problem for the Einstein-Klein-Gordon system and establish the global nonlinear stability of massive matter in the near-Minkowski regime when the initial geometry is a perturbation of an asymptotically flat,…

General Relativity and Quantum Cosmology · Physics 2022-11-15 Philippe G. LeFloch , Yue Ma

Significant advances were made in recent years on the global evolution problem for self-gravitating massive matter in the small-perturbative regime close to Minkowski spacetime. To study the coupling between a Klein-Gordon equation and…

General Relativity and Quantum Cosmology · Physics 2023-07-12 Philippe G. LeFloch , Yue Ma

We investigate the well-posedness of the characteristic initial-boundary value problem for the Einstein equations in Bondi-like coordinates (including Bondi, double-null and affine). We propose a definition of strong hyperbolicity of a…

General Relativity and Quantum Cosmology · Physics 2024-07-11 Carsten Gundlach

We analyse the physical properties of an analytical, nonsingular quantum-corrected black hole solution recently derived in a minisuperspace model for unimodular gravity under the assumption of unitarity in unimodular time. We show that the…

General Relativity and Quantum Cosmology · Physics 2026-02-02 Steffen Gielen , Sofie Ried

Both massless light ray and objects with nonzero mass experience trajectory bending in a gravitational field. In this work the bending of trajectories of massive objects in a Schwarzschild spacetime and the corresponding gravitational…

General Relativity and Quantum Cosmology · Physics 2016-09-02 Xionghui Liu , Nan Yang , Junji Jia

We study the quantum-mechanical decay of a Schwarzschild-like black hole into almost-flat space and weak radiation at a very late time, evaluating quantum amplitudes (not just probabilities) for transitions from initial to final states. No…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A. N. St. J. Farley , P. D. D'Eath

The Schwarzschild interior solution, when combined with the assumption of a finite central pressure, leads to the well-known Buchdahl bound. This bound establishes an upper limit on the mass-to-radius ratio of an object, which is equivalent…

General Relativity and Quantum Cosmology · Physics 2026-05-25 Christian G. Boehmer , Naresh Dadhich , Surajit Das

In order to determine the steady-state subcritical gravity-capillary waves that are produced by potential flow past a wave-making body, it is typically necessary to impose a radiation condition that allows for capillary waves upstream, but…

Fluid Dynamics · Physics 2020-04-22 Sean Jamshidi , Philippe H. Trinh

The stationary background flow in the spherically symmetric infall of a compressible fluid, coupled to the space-time defined by the static Schwarzschild metric, has been subjected to linearized perturbations. The perturbative procedure is…

Astrophysics · Physics 2008-12-18 Tapan Naskar , Nabajit Chakravarty , Jayanta K. Bhattacharjee , Arnab K. Ray

The evolution of spheroids of matter emitting gravitational waves and null radiation field is studied in the realm of radiative Robinson-Trautman spacetimes. The null radiation field is expected in realistic gravitational collapse, and can…

General Relativity and Quantum Cosmology · Physics 2008-11-26 H. P. de Oliveira , E. L. Rodrigues

We explore possible manifestations of an odd number of extra dimensions in gravitational radiation, which are associated with violation of Huygens' principle in flat odd-dimensional spacetime. Our setup can be regarded as the limit of an…

General Relativity and Quantum Cosmology · Physics 2022-04-20 M. Khlopunov , D. V. Gal'tsov

We compute the gravitational birefringence of light as it undergoes gravitational lensing. To this end we re-derive the Souriau-Saturnini equations in the Schwarzschild metric and solve them numerically and perturbatively. Our main result…

General Relativity and Quantum Cosmology · Physics 2019-07-05 Christian Duval , Loic Marsot , Thomas Schucker

We investigate the asymptotic behavior of spherically symmetric solutions to scalar wave and Yang-Mills equations on a Schwarzschild background. The studies demonstrate the astrophysical relevance of null infinity in predicting radiation…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Anıl Zenginoğlu
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