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We revisit the dynamics of a black hole accreting energy from a surrounding homogeneous and infinite space. We argue for a simple heuristic modification of the Schwarzschild approximation when the density of the medium is not negligible…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Aurélien Barrau , Killian Martineau , Hanane Zelgoum

We derive soft theorems for theories in which time symmetries -- symmetries that involve the transformation of time, an example of which are Lorentz boosts -- are spontaneously broken. The soft theorems involve unequal-time correlation…

High Energy Physics - Theory · Physics 2023-03-01 Lam Hui , Austin Joyce , Ilia Komissarov , Klaas Parmentier , Luca Santoni , Sam S. C. Wong

In this article, we extend the strong deflection limit to calculate the deflection angle for a class of geometries which are asymptotically locally flat. In particular, we study the deflection of light in the surroundings of spherical black…

General Relativity and Quantum Cosmology · Physics 2018-08-22 Fabrizio Canfora , Ernesto F. Eiroa , Carlos M. Sendra

It is proved in the manuscript that as long as the proper coordinate transformation is introduced,, the equations of geodetic lines described in curved space-time can be transformed into the dynamic equations in flat space-time, that is to…

General Physics · Physics 2011-08-24 Mei Xiaochun

Understanding the behaviour of linear waves on black hole backgrounds is a central problem in general relativity, intimately connected with the nonlinear stability of the black hole spacetimes themselves as solutions to the Einstein…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Mihalis Dafermos

We recast the soft $S$-matrices on the celestial sphere as correlation functions of certain $2$-dimensional models of topological defects. In pointing out the double copy structure between the soft photon and soft graviton cases, we arrive…

High Energy Physics - Theory · Physics 2021-04-27 Nikhil Kalyanapuram

In this work we suggest a simplified "quasi-classical" formalism of the Schwarzschild black hole thermodynamics. We define such small quantum system at Schwarzschild black hole horizon surface whose reduced Compton wavelength equals one…

General Physics · Physics 2020-09-22 Vladan Pankovic

We show at one-loop approximation that the QED photon acquires a negative gauge-invariant mass-squared in the near-horizon region of an evaporating Schwarzschild black hole. This result may imply that information about the inner structure…

High Energy Physics - Theory · Physics 2018-02-28 Slava Emelyanov

In this paper, we derive a soft theorem at leading and subleading orders within the context of BFSS matrix theory. Specifically, we consider the effective field theory describing interactions between bound states of D0-branes at leading…

High Energy Physics - Theory · Physics 2026-02-06 Davide Laurenzano , John F. Wheater

Quadratic gravity constitutes a prototypical example of a perturbatively renormalizable quantum theory of the gravitational interactions. In this work, we construct the associated phase space of static, spherically symmetric, and…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Jesse Daas , Kolja Kuijpers , Frank Saueressig , Michael F. Wondrak , Heino Falcke

The gravitational shock waves have provided crucial insights into entanglement structures of black holes in the AdS/CFT correspondence. Recent progress on the soft hair physics suggests that these developments from holography may also be…

High Energy Physics - Theory · Physics 2022-01-19 Shuwei Liu , Beni Yoshida

We give a complete account of how soft gluon, massless quark, evolution equations in colour space originate, from a factorization into a hard cross section density operator and a soft function encoding measurements and the projection on…

High Energy Physics - Phenomenology · Physics 2023-08-02 Simon Plätzer

Spherically symmetric solutions in Brans-Dicke theory of relativity with zero coupling constant, $\omega=0$, are derived in the Schwarzschild line-element. The solutions are obtained from a cubic transition equation with one small…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Maurice H. P. M. van Putten

BFSS proposed that asymptotically flat M-theory is dual to a large $N$ limit of the matrix quantum mechanics describing $N$ nonrelativistic D0-branes. Recent insights on the soft symmetries of any quantum theory of gravity in asymptotically…

High Energy Physics - Theory · Physics 2022-09-01 Noah Miller , Andrew Strominger , Adam Tropper , Tianli Wang

We perform the Hamiltonian reduction of three dimensional Einstein gravity with negative cosmological constant under constraints imposed by near horizon boundary conditions. The theory reduces to a Floreanini-Jackiw type scalar field theory…

High Energy Physics - Theory · Physics 2020-01-29 Daniel Grumiller , Wout Merbis

The soft photon and soft graviton theorems of Weinberg are known to derive from conservation laws associated with asymptotic symmetries. Within the corresponding classical theories, one often speaks of spontaneous symmetry breaking and…

High Energy Physics - Theory · Physics 2025-07-10 Shreyansh Agrawal , Kevin Nguyen

The membrane paradigm posits that black hole microstates are dynamical degrees of freedom associated with a physical membrane vanishingly close to the black hole's event horizon. The soft hair paradigm postulates that black holes can be…

High Energy Physics - Theory · Physics 2018-12-19 D. Grumiller , M. M. Sheikh-Jabbari

The concept of a marginally trapped surface is important in the theory of general relativity. In the Schwarzschild black hole spacetime, its event horizon is foliated by marginally trapped surfaces. In a more general black hole spacetime,…

Differential Geometry · Mathematics 2022-07-12 Pengyu Le

We study the backwards-in-time stability of the Schwarzschild singularity from a dynamical PDE point of view. More precisely, considering a spacelike hypersurface $\Sigma_0$ in the interior of the black hole region, tangent to the singular…

General Relativity and Quantum Cosmology · Physics 2016-07-20 Grigorios Fournodavlos

The soft breaking of gauge or other symmetries is the typical Quantum Field Theory phenomenon. In many cases one can apply the St$\ddot{\rm u}$ckelberg procedure, which means introducing some additional field or fields and restore the gauge…

High Energy Physics - Theory · Physics 2008-11-26 I. L. Buchbinder , G. de Berredo-Peixoto , I. L. Shapiro