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Related papers: MOTS in Schwarzschild: multiple self-intersections…

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Combining several results from the previous works of the author, three main subtleties will be clarified here. First, similar to the rotating BTZ black holes, we show how for the warped BTZ black holes, the consideration of the effective…

High Energy Physics - Theory · Physics 2024-09-10 Mahdis Ghodrati

By means of a simple scaling transformation any asymptotically flat Papapetrou-Majumdar solution of the Einstein-Maxwell equations corresponding to a localized regular distribution of electrically counterpoised dust can be reformulated as a…

General Relativity and Quantum Cosmology · Physics 2011-10-19 Reinhard Meinel , Moritz Hütten

We provide a joint numerical-analytical study of the physics of a flowing atomic Bose-Einstein condensate in the combined presence of an external trap and a step potential which accelerates the atoms out of the condensate creating a pair of…

Quantum Gases · Physics 2021-04-12 Manuele Tettamanti , Iacopo Carusotto , Alberto Parola

Gravitational perturbations which are present in any realistic stellar collapse to a black hole, die off in the exterior of the hole, but experience an infinite blueshift in the interior. This is believed to lead to a slowly contracting…

General Relativity and Quantum Cosmology · Physics 2016-08-24 S. Droz

In this work, we focus on the situation where a significant amount of matter could be located close to the event horizon of the central black hole and how it affects the gravitational lensing signal. We consider a simple toy model where the…

General Relativity and Quantum Cosmology · Physics 2020-04-28 Harsha Miriam Reji , Mandar Patil

We study the gravitational perturbations of black holes in quadratic gravity, in which the Einstein-Hilbert term is supplemented by quadratic terms in the curvature tensor. In this class of theories, the Schwarzschild solution can coexist…

General Relativity and Quantum Cosmology · Physics 2025-05-05 Georgios Antoniou , Leonardo Gualtieri , Paolo Pani

The spacetime in the interior of a black hole can be described by an homogeneous line element, for which the Einstein--Hilbert action reduces to a one-dimensional mechanical model. We have shown in [SciPost Phys. 10, 022 (2021),…

General Relativity and Quantum Cosmology · Physics 2022-09-12 Marc Geiller , Etera R. Livine , Francesco Sartini

Stationary, inviscid, axi-symmetric, rotating, transonic accretion flow has been studied in a general relativistic framework, in the Schwarzschild metric; for three different flow geometries - under both polytropic and isothermal…

General Relativity and Quantum Cosmology · Physics 2015-04-06 Shamreen Iram

We utilized steady-state, axisymmetric, viscous hydrodynamic fluid equations around a black hole in a Schwarzschild geometry background. Here, the relativistic Schwarzschild geometry is mimicked by the Paczy{\'n}sky-Wiita potential. We…

High Energy Astrophysical Phenomena · Physics 2024-08-21 Rajiv Kumar

We show a stability result for the Schwarzschild singularity (inside the black hole region) for the Einstein vacuum equations. The result is proven in the class of polarized axial symmetry, under perturbations of the Schwarzschild data…

Analysis of PDEs · Mathematics 2020-05-07 Spyros Alexakis , Grigorios Fournodavlos

We investigate the interior of AdS black holes under finite shear strain in a class of holographic axion models, which are widely used to describe strongly-coupled systems with broken translations. We demonstrate that the shear anisotropy…

High Energy Physics - Theory · Physics 2026-02-10 Yuanceng Xu , Li Li , Wei-Jia Li

We present a simple, general, and accurate construction of the event horizons for the fusion of two neutral, rotating black holes with arbitrary orientation and values of their spins, in the extreme mass ratio limit where one black hole is…

General Relativity and Quantum Cosmology · Physics 2018-02-07 Roberto Emparan , Marina Martinez , Miguel Zilhao

We model the general relativistic interaction of a small hyperelastic sphere with a Schwarzschild black hole as it follows an initially marginally-bound orbit through a close encounter. While the interaction reveals effects that are encoded…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Nishita Jadoo , J. David Brown , Charles R. Evans

In the former part, we study the gravitational collapse of pressureless dust and find special solutions, where, in both the physical and fiducial sectors, the exterior and interior spacetime geometries are given by the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2023-03-31 Masato Minamitsuji , Antonio De Felice , Shinji Mukohyama , Michele Oliosi

We introduce a new geometric evolution equation for hypersurfaces in asymptotically flat spacetime initial data sets, that unites the theory of marginally outer trapped surfaces (MOTS) with the study of inverse mean curvature flow in…

Differential Geometry · Mathematics 2022-08-16 Kristen Moore

The present work extends our short communication Phys. Rev. Lett. 95, 111102 (2005). For smooth marginally outer trapped surfaces (MOTS) in a smooth spacetime we define stability with respect to variations along arbitrary vectors v normal…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lars Andersson , Marc Mars , Walter Simon

We investigate toroidal Marginally Outer Trapped Surfaces (MOTS) and Marginally Outer Trapped Tubes (MOTT) in closed Friedmann-Lemaitre-Robertson-Walker (FLRW) geometries. They are constructed by embedding Constant Mean Curvature (CMC)…

General Relativity and Quantum Cosmology · Physics 2017-11-01 Patryk Mach , Naqing Xie

We study the black hole interiors of spacetimes arising from gravitational collapse in the spherically symmetric Einstein-scalar field setting, and we investigate the precise blow-up rates of curvature and mass at the spacelike singularity…

Analysis of PDEs · Mathematics 2020-04-27 Xinliang An , Dejan Gajic

We show that the Kantowski--Sachs model of a Schwarzschild black hole interior can be slightly generalized in order to accommodate spatial metrics of different orientations, and in this formulation the equations of motion admit a variable…

General Relativity and Quantum Cosmology · Physics 2022-08-17 Flavio Mercati , David Sloan

Current gravitational-wave data from stellar-mass black-hole binary mergers suggest a correlation between the binary mass ratio $q$ and the effective spin $\chi_\mathrm{eff}$: more unequal-mass binaries consistently show larger and positive…

High Energy Astrophysical Phenomena · Physics 2023-10-25 Alessandro Santini , Davide Gerosa , Roberto Cotesta , Emanuele Berti