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We consider a plane wave, a radiation solution, and the sum of these solutions (total solution) for the Helmholtz equation in an exterior region in $\R^3$. We consider a ray in this region, such that its direction is different from the…

Analysis of PDEs · Mathematics 2023-10-18 Roman Novikov

We present a model of the vertical stratification and the spectra of an irradiated medium under the assumption of constant pressure. Such a solution has properties intermediate between constant density models and hydrostatic equilibrium…

Astrophysics · Physics 2009-11-07 A. -M. Dumont , B. Czerny , S. Collin , P. T. Zycki

The formation and semi-classical evaporation of two-dimensional black holes is studied in an exactly solvable model. Above a certain threshold energy flux, collapsing matter forms a singularity inside an apparent horizon. As the black hole…

High Energy Physics - Theory · Physics 2009-10-07 J. Russo , L. Susskind , L. Thorlacius

We study analytically the spacetime geometry of the black-hole formation and evaporation. As a simplest model of the collapse, we consider a spherical thin shell, and take the back-reaction from the negative energy of the quantum vacuum…

High Energy Physics - Theory · Physics 2020-08-05 Pei-Ming Ho , Yoshinori Matsuo , Yuki Yokokura

In general, the field equation of $f(R)$ gravitational theory is very intricate, and therefore, it is not an easy task to derive analytical solutions. We consider rotating black hole spacetime four-dimensional in the $f(R)$ gravitational…

General Relativity and Quantum Cosmology · Physics 2023-06-14 G. L. N. Nashed , Shin'ichi Nojiri

The presence and evolution of apparent horizons in a two-parameter family of spherically symmetric, time-dependent solutions of Brans-Dicke gravity are analyzed. These solutions were introduced to model space- and time-varying gravitational…

General Relativity and Quantum Cosmology · Physics 2012-09-27 Valerio Faraoni , Vincenzo Vitagliano , Thomas P. Sotiriou , Stefano Liberati

The features of the fundamental thermodynamical relation (expressing entropy as function of state variables) that arise from the self-gravitating character of a system are analyzed. The models studied include not only a spherically…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Erik A. Martinez

We consider spacelike warped AdS$_{3}$ black hole metric in Boyer-Lindquist coordinate system. We present a coordinates transformation so that it maps metric in Boyer-Lindquist coordinates to the one in Gaussian null coordinates. Then we…

High Energy Physics - Theory · Physics 2017-11-27 M. R. Setare , H. Adami

Recent advances in the observation of black-hole candidates have renewed interest in probing their near-horizon structure and in searching for departures from the standard singular solutions of general relativity. In this context,…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Valentin Pomakov , Stefano Liberati

The radial motion of a self-graviting charged dust and stability condition of the static charged dust spheres are considered. The stability is possible for the bound states of the weakly charged layer with abnormal charge with respect to…

General Relativity and Quantum Cosmology · Physics 2011-04-14 Valentin D. Gladush

We make a systematic investigation of the generic properties of static, spherically symmetric, asymptotically flat solutions to the field equations describing gravity minimally coupled to a nonlinear self-gravitating real scalar field.…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Mustapha Azreg-Aïnou

We consider simple hydrodynamical models of galactic dark matter in which the galactic halo is a self-gravitating and self-interacting gas that dominates the dynamics of the galaxy. Modeling this halo as a sphericaly symmetric and static…

High Energy Physics - Phenomenology · Physics 2007-05-23 Luis G. Cabral-Rosetti , Dario Nunez , Roberto A. Sussman , Tonatiuh Matos

The interior of the black hole can be described by anisotropic cosmology. By quantizing the metric function, we can obtain the Wheeler-DeWitt equation for inside the horizon. In order to interpret the wave function consistently, one needs…

General Relativity and Quantum Cosmology · Physics 2022-09-08 Dong-han Yeom

We consider radial complex scaling/perfectly matched layer methods for scalar resonance problems in homogeneous exterior domains. We introduce a new abstract framework to analyze the convergence of domain truncations and discretizations.…

Numerical Analysis · Mathematics 2020-07-21 Martin Halla

We study the near-horizon spacetime for isolated and dynamical trapping horizons (equivalently marginally outer trapped tubes). The metric is expanded relative to an ingoing Gaussian null coordinate and the terms of that expansion are…

General Relativity and Quantum Cosmology · Physics 2014-06-03 Ivan Booth

In a recent paper it was suggested that some multi-black hole solutions in five or more dimensions have horizons that are not smooth. These black hole configurations are solutions to $d$-dimensional Einstein gravity (with no dilaton) and…

High Energy Physics - Theory · Physics 2016-08-24 Dean L. Welch

We construct an approximate solution which describes the gravitational emission from a naked singularity formed by the gravitational collapse of a cylindrical thick shell composed of dust. The assumed situation is that the collapsing speed…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ken-ichi Nakao , Yoshiyuki Morisawa

Aspects of holography or dimensional reduction in gravitational physics are discussed with reference to black hole thermodynamics. Degrees of freedom living on Isolated Horizons (as a model for macroscopic, generic, eternal black hole…

General Relativity and Quantum Cosmology · Physics 2008-02-12 Parthasarathi Majumdar

We consider the classification of static near-horizon geometries of stationary extremal (not necessarily BPS) black hole solutions of five dimensional Einstein-Maxwell theory coupled to a Chern-Simons term with coupling xi (with xi=1…

High Energy Physics - Theory · Physics 2009-12-23 Hari K. Kunduri , James Lucietti

We study electrically charged, static, spherically symmetric black holes in quadratic gravity using the conformal-to-Kundt technique, which leads to a considerable simplification of the field equations. We study the solutions using a…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Vojtech Pravda , Alena Pravdova , George Turner
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