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In this paper we analyze the propagation of a charged scalar field in a Reissner-Nordstr\"om black hole endowed with one anisotropic fluid that can play the role of a cosmological term for certain set of parameters. The evolution of a…

General Relativity and Quantum Cosmology · Physics 2021-12-02 B. Cuadros-Melgar , R. D. B. Fontana , Jeferson de Oliveira

In this paper we examine necessary conditions for an inhomogeneity to be non-scattering, or equivalently, by negation, sufficient conditions for it to be scattering. These conditions are formulated in terms of the regularity of the boundary…

Analysis of PDEs · Mathematics 2021-04-13 Fioralba Cakoni , Michael S. Vogelius

Photon-mediated interactions within an excited ensemble of emitters can result in Dicke superradiance, where the emission rate is greatly enhanced, manifesting as a high-intensity burst at short times. The superradiant burst is most…

Quantum Physics · Physics 2025-06-17 Wai-Keong Mok , Ana Asenjo-Garcia , Tze Chien Sum , Leong-Chuan Kwek

The necessary and sufficient condition for the absence of particle horizons in a big bang Friedmann-Robertson-Walker universe is provided. It happens to be a "smooth big bang" initial condition: the proper time derivative of the expansion…

General Relativity and Quantum Cosmology · Physics 2019-11-11 Carles Bona

We prove global existence for quasilinear wave equations outside of a wide class of obstacles. The obstacles may contain trapped hyperbolic rays as long as there is local exponential energy decay for the associated linear wave equation.…

Analysis of PDEs · Mathematics 2009-11-10 Jason Metcalfe , Christopher D. Sogge

Light scattering is one of the most established wave phenomena in optics, lying at the heart of light-matter interactions and of crucial importance for nanophotonic applications. Passivity, causality and energy conservation imply strict…

Optics · Physics 2022-11-23 Seunghwi Kim , Sergey Lepeshov , Alex Krasnok , Andrea Alù

We study whether a violation of the null energy condition necessarily implies the presence of instabilities. We prove that this is the case in a large class of situations, including isotropic solids and fluids relevant for cosmology. On the…

High Energy Physics - Theory · Physics 2009-11-11 S. Dubovsky , T. Gregoire , A. Nicolis , R. Rattazzi

Black holes in Lorentz violating gravity enjoy a double horizon structure which resembles that of the Kerr solution in General Relativity. Moreover, when a scalar field with a modified dispersion relation is coupled to these backgrounds, an…

General Relativity and Quantum Cosmology · Physics 2024-10-03 M. Herrero-Valea , E. Simon-Felix

In the formulation of the problem of scattering of monochromatic waves and the numerical simulation of the solution to the Helmholtz equation, there is a computational inconvenience: the calculation is performed on a finite grid of…

Plasma Physics · Physics 2023-01-20 Vladimir V. Gorin

We investigate the possibility of having an event horizon within several classes of metrics that asymptote to the maximally supersymmetric IIB plane wave. We show that the presence of a null Killing vector (not necessarily covariantly…

High Energy Physics - Theory · Physics 2009-11-10 James T. Liu , Leopoldo A. Pando Zayas , Diana Vaman

We show global existence backwards from scattering data at infinity for semilinear wave equations satisfying the null condition or the weak null condition. Semilinear terms satisfying the weak null condition appear in many equations in…

Analysis of PDEs · Mathematics 2021-02-24 Hans Lindblad , Volker Schlue

Rotational superradiance was predicted theoretically decades ago, and is chiefly responsible for a number of important effects and phenomenology in black-hole physics. However, rotational superradiance has never been observed…

General Relativity and Quantum Cosmology · Physics 2017-01-02 Vitor Cardoso , Antonin Coutant , Mauricio Richartz , Silke Weinfurtner

Black holes have the peculiar and intriguing property of having an event horizon, a one-way membrane causally separating their internal region from the rest of the Universe. Today astrophysical observations provide some evidence for the…

General Relativity and Quantum Cosmology · Physics 2013-09-10 Cosimo Bambi

Spherical configurations that are very massive must be surrounded by apparent horizons. These in turn, when placed outside a collapsing body, have a fixed area and must propagate outward with a velocity equal to the velocity of radially…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Edward Malec

We explore a one-zone hadronic model that may be able to reproduce $\gamma$-ray burst (GRB) prompt emission with a minimum of free parameters. Assuming only that GRBs are efficient high-energy proton accelerators and without the presence of…

High Energy Astrophysical Phenomena · Physics 2015-06-22 Maria Petropoulou , Stavros Dimitrakoudis , Apostolos Mastichiadis , Dimitrios Giannios

In the present paper some consequences of the assumption that in the center of the Galaxy there is a supermassive compact object without the events horizon are considered. The possibility of existence of such object has been argued earlier.…

Astrophysics · Physics 2007-05-23 L. V. Verozub

Boundary conditions defining a generic isolated horizon are introduced. They generalize the notion available in the existing literature by allowing the horizon to have distortion and angular momentum. Space-times containing a black hole,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Abhay Ashtekar , Christopher Beetle , Olaf Dreyer , Stephen Fairhurst , Badri Krishnan , Jerzy Lewandowski , Jacek Wisniewski

We demonstrate steady-state, mirrorless superradiance in a cold vapor pumped by weak optical fields. Beyond a critical pump intensity of 1 mW/cm$^2$, the vapor spontaneously transforms into a spatially self-organized state: a density…

Atomic Physics · Physics 2015-06-04 Joel A. Greenberg , Daniel J. Gauthier

Scattering of electromagnetic waves lies at the heart of most experimental techniques over nearly the entire electromagnetic spectrum, ranging from radio waves to optics and X-rays. Hence, deep insight into the basics of scattering theory…

It has been proposed that the entropy of any object must satisfy fundamental (holographic or Bekenstein) bounds set by the object's size and perhaps its energy. However, most discussions of these bounds have ignored the possibility that…

High Energy Physics - Theory · Physics 2009-11-10 Donald Marolf , Rafael Sorkin