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In this paper we consider a system of equations that describes a class of mass-conserving aggregation phenomena, including gravitational collapse and bacterial chemotaxis. In spatial dimensions strictly larger than two, and under the…

Analysis of PDEs · Mathematics 2009-11-10 Ignacio A. Guerra , Mark A. Peletier

Gravity models given by higher-order scalar curvature corrections are believed to bear important consequences. The Einstein-Bel-Robinson gravity, with quartic curvature modification, motivated Sajadi et al to explore static spherically…

General Relativity and Quantum Cosmology · Physics 2024-04-11 B. Hamil , B. C. Lütfüoğlu

We study attractor mechanism in extremal black holes of Einstein-Born-Infeld theories in four dimensions. We look for solutions which are regular near the horizon and show that they exist and enjoy the attractor behavior. The attractor…

High Energy Physics - Theory · Physics 2008-11-26 B. Chandrasekhar , H. Yavartanoo , S. Yun

There is a general scaling argument that shows that the entropy of a small black hole, representing a half-BPS excitation of an elementary heterotic string in any dimension, agrees with the statistical entropy up to an overall numerical…

High Energy Physics - Theory · Physics 2009-11-11 Ashoke Sen

Inspired from the inflation brane world cosmology, we study the thermodynamics of a black hole solution in two dimensional dilaton gravity with an arctangent potential background. We first derive the two dimensional black hole geometry,…

High Energy Physics - Theory · Physics 2014-01-30 A. Belhaj , M. Chabab , H. El Moumni , M. B. Sedra , A. Segui

(Abridged) This is the second of two companion papers on the interior structure of self-similar accreting charged black holes. In the first paper, the black hole was allowed to accrete only a single fluid of charged baryons. In this second…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Andrew J. S. Hamilton , Scott E. Pollack

The new, rapidly developing field of theoretical research --- studies of dark energy interacting with black holes (and, in particular, accreting onto black holes) --- is reviewed. The term `dark energy' is meant to cover a wide range of…

General Relativity and Quantum Cosmology · Physics 2014-06-11 E. O. Babichev , V. I. Dokuchaev , Yu. N. Eroshenko

We analyse the entanglement entropy between the Black 0-Brane solution to supergravity and its Hawking radiation. The Black 0-Brane admits a dual Gauge theory description in terms of the Matrix model for M-Theory, named BFSS theory, which…

High Energy Physics - Theory · Physics 2025-10-29 Angshuman Choudhury , Davide Laurenzano

We give a method in which a quantum of mass equal to twice the Planck mass arises naturally. Then using Bose-Einstein statistics we derive an expression for the black hole entropy which physically tends to the Bekenstein-Hawking formula.

General Relativity and Quantum Cosmology · Physics 2009-10-31 B. Ram

Explicitly covariant analytical expressions are derived that describe the boundaries of shadows cast by massive particles scattered by a gravitating object. This covers scenarios with particles having effectively variable mass, such as…

General Relativity and Quantum Cosmology · Physics 2023-12-15 Kirill Kobialko , Igor Bogush , Dmitri Gal'tsov

Accreting black hole sources show variable outflows at different mass scales. For instance, in the case of galactic nuclei, our own galactic center Sgr A* exhibits flares and outbursts in the X-ray and infrared bands. Recent studies suggest…

High Energy Astrophysical Phenomena · Physics 2024-07-17 Bestin James , Agnieszka Janiuk , Vladimir Karas

Holographic considerations are used in the scrutiny of a special class of brane-world cosmologies. Inherently to this class, the brane typically bounces, at a finite size, as a consequence of a charged black hole in the bulk. Whereas a…

High Energy Physics - Theory · Physics 2009-11-10 A. J. M. Medved

In this note we first review the degenerate vacua arising from the BMS symmetries. According to the discussion in [1] one can define BMS-analogous supertranslation and superrotation for spacetime with black hole in Gaussian null…

General Relativity and Quantum Cosmology · Physics 2016-10-03 Rong-Gen Cai , Shan-Ming Ruan , Yun-Long Zhang

In this letter, we study the self-force in the Parikh-Wilczek tunneling model of Hawking radiation for Reissner-Nordstroem black holes. We conclude that the repulsive self-force speeds up the emission and the radiation becomes an…

General Relativity and Quantum Cosmology · Physics 2014-04-09 Wen-Yu Wen

The mass inflation phenomenon implies that black hole interiors are unstable due to a back-reaction divergence of the perturbed black hole mass function at the Cauchy horizon. Weak point in the standard mass inflation calculations is in a…

General Relativity and Quantum Cosmology · Physics 2014-03-05 Vyacheslav I. Dokuchaev

We investigate the steady spherically symmetric accretion in the combined potential of a central black hole and a dark matter halo. For the halo, we consider a Hernquist and an NFW potential and calculate the critical points of the flow. We…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-12 Ritik Sharma , Mahavir Sharma

We argue that primordial black-hole formation must be described by means of extreme-value theory. This is a consequence of the large values of the energy density required to initiate the collapse of black holes in the early Universe and the…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-28 Florian Kuhnel , Dominik J. Schwarz

A gravitational potential in the relativistic case is introduced as an alternative to Wald's potential used by Verlinde, which reproduces the familiar entropy/area relation S=A/4 (in the natural units) when Verlinde's idea is applied to the…

High Energy Physics - Theory · Physics 2010-05-19 Yu Tian , Xiaoning Wu

Primordial black holes as dark matter may be generated in single-field models of inflation thanks to the enhancement at small scales of the comoving curvature perturbation. This mechanism requires leaving the slow-roll phase to enter a…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-26 Matteo Biagetti , Gabriele Franciolini , Alex Kehagias , Antonio Riotto

By reexamination of the boundary conditions of wave equation on a black hole horizon it is found not harmonic, but real-valued exponentially time-dependent solutions. This means that quantum particles probably do not cross the Schwarzschild…

General Physics · Physics 2018-05-10 Merab Gogberashvili , Lasha Pantskhava