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We investigate a quantum non-relativistic system describing the interaction of two particles with spin 1/2 and spin 0, respectively. Assuming that the Hamiltonian is rotationally invariant and parity conserving we identify all such systems…

Mathematical Physics · Physics 2021-08-11 I. Yurdusen , O. O. Tuncer , P. Winternitz

In general relativity (without matter), there is typically a one parameter family of static, maximally symmetric black hole solutions labelled by their mass. We show that there are situations with many more black holes. We study…

High Energy Physics - Theory · Physics 2022-11-09 Gary T. Horowitz , Diandian Wang , Xiaohua Ye

We identify a quantity in the $c=1$ matrix model which describes the wavefunction for physical scattering of a tachyon from a black hole of the two dimensional critical string theory. At the semiclassical level this quantity corresponds to…

High Energy Physics - Theory · Physics 2014-11-18 Sumit R. Das

The black hole information puzzle can be resolved if two conditions are met. Firstly, if the information of what falls inside a black hole remains encoded in degrees of freedom that persist after the black hole completely evaporates. These…

General Relativity and Quantum Cosmology · Physics 2023-10-25 Alejandro Perez , Sami Viollet

We investigate scalarized black holes in the Einstein-minimally coupled scalar theory with a negative potential $V(\phi)=-\alpha^2\phi^6$. The tachyonic instability is absent from analyzing the linearized scalar equation, which could not…

General Relativity and Quantum Cosmology · Physics 2024-08-13 Xiao Yan Chew , Yun Soo Myung

In this article we find a four-dimensional metric for a large black hole immersed in dark matter. Specifically, we look for and find a static spherically symmetric black hole solution to the Einstein equations which gives, in the Newtonian…

General Relativity and Quantum Cosmology · Physics 2021-01-12 Fateen Haddad , Nidal Haddad

In the past few years, there has been considerable activity around a set of quantum bounds on transport coefficients (viscosity) and chaos (Lyapunov exponent), relevant at low temperatures. The interest comes from the fact that Black-Hole…

High Energy Physics - Theory · Physics 2022-07-27 Silvia Pappalardi , Jorge Kurchan

Working in a semi-classical setting, we consider solutions of the Einstein equations that exhibit light trapping in finite time according to distant observers. In spherical symmetry, we construct near-horizon quantities from the assumption…

General Relativity and Quantum Cosmology · Physics 2023-11-14 Pravin K. Dahal , Fil Simovic , Ioannis Soranidis , Daniel R. Terno

Extremal black holes have vanishing Hawking temperatures. In this article, we argue that for asymptotically AdS black holes, at extremality, a particular class of correlators in the dual CFT can exhibit exponential, maximally chaotic growth…

High Energy Physics - Theory · Physics 2020-11-18 Avik Banerjee , Arnab Kundu , Rohan R. Poojary

We are entering a new era to test the strong gravity regime around astrophysical black holes. The possibility that they are actually horizonless ultracompact objects and then free from the information loss paradox can be examined more…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Jing Ren

We construct commuting transfer matrices for models describing the interaction between a single quantum spin and a single bosonic mode using the quantum inverse scattering framework. The transfer matrices are obtained from certain…

Other Condensed Matter · Physics 2008-11-26 L. Amico , H. Frahm , A. Osterloh , G. A. P. Ribeiro

We derive an analytic expression for point-to-point correlation functions of the Polyakov loop based on the transfer matrix formalism. For the $2d$ Ising model we show that the results deduced from point-point spin correlators are…

High Energy Physics - Lattice · Physics 2009-10-28 J. ~Engels , V. K. ~Mitrjushkin , T. ~Neuhaus

To model the interior of a black hole, a study is made of a spin system with long-range random four-spin couplings that exhibits quantum chaos. The black hole limit corresponds to a system where the microstates are approximately degenerate…

High Energy Physics - Theory · Physics 2020-07-15 David A Lowe , Mengyang Tong

We consider the classification of asymptotically flat, stationary, vacuum black hole spacetimes in four and five dimensions, that admit one and two commuting axial Killing fields respectively. It is well known that the Einstein equations…

General Relativity and Quantum Cosmology · Physics 2023-01-05 James Lucietti , Fred Tomlinson

For a fast particle moving within a two-dimensional array of soft scatterers - centers of weak and short-range potential - the dependence of the Lyapunov exponent on the system parameters is studied. The use of the linearized equations for…

Chaotic Dynamics · Physics 2009-11-10 P. V. Elyutin

A model of the universe as a very large white hole provides a useful alternative inhomogeneous theory to pit against the homogeneous standard FLRW big bang models. The white hole would have to be sufficiently large that we can fit…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Philip Gibbs

In a dynamical systems description of spatiotemporally chaotic PDEs including those describing turbulence, chaos is viewed as a trajectory evolving within a network of non-chaotic, dynamically unstable, time-invariant solutions embedded in…

Chaotic Dynamics · Physics 2023-08-02 Omid Ashtari , Tobias M. Schneider

The self-gravitating, spherically symmetric thin shells built of orbiting particles are sstudied. Two new features are found. One is the minimal possible value for an angular momentum of particles, above which elleptic orbits become…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Victor Berezin , Maxim Okhrimenko

A $n\times n$ matrix $A$ has normal defect one if it is not normal, however can be embedded as a north-western block into a normal matrix of size $(n+1)\times (n+1)$. The latter is called a minimal normal completion of $A$. A construction…

Functional Analysis · Mathematics 2009-03-03 D. S. Kaliuzhnyi-Verbovetskyi , I. M. Spitkovsky , H. J. Woerdeman

We study the non-minimal composite Higgs model with global symmetry $\text{SO}(7)$ broken to $\text{SO}(5)\times \text{SO}(2)$. The model results in a composite Two-Higgs doublet model (2HDM) equipped with two extra singlets, the lightest…

High Energy Physics - Phenomenology · Physics 2019-11-20 Alessandro Davoli , Andrea De Simone , David Marzocca , Alessandro Morandini