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We perform canonical quantization of gravity in the background of a Schwarzschild black hole in the generalized Regge-Wheeler gauge proposed in \cite{Kallosh:2021ors}. We find that the Hamiltonian at the quadratic level is unitary and…

High Energy Physics - Theory · Physics 2021-11-03 Renata Kallosh

The symmetries of the gravitational scattering are intimately tied to the symmetries which preserve asymptotic flatness at null infinity. In Penrose's definition of asymptotic flatness, a central role is played by the notion of asymptotic…

General Relativity and Quantum Cosmology · Physics 2024-12-13 Marc Geiller , Alok Laddha , Céline Zwikel

In this account we investigate an asymptotically flat space-time geometry. In particular, we focus on a pure gravity model with cylindrical symmetry where no matter fields are included. The Einstein-Rosen metric is introduced and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Andrea Macrina

In this article we investigate the properties of the asymptotically Schwarzschild-like metric as an alternative to the Schwarzschild solution in General Relativity. While asymptotically flat and similar to Schwarzschild at large distances…

General Relativity and Quantum Cosmology · Physics 2025-11-18 K. K. Ernazarov

In a gravitational field, we analyze the Maxwell equations, the correponding electromagnetic wave and continuity equations. A particular solution for parellel electric and magnetic fields in a gravitational background is presented. These…

High Energy Physics - Theory · Physics 2007-05-23 Sortelano Araujo Diniz , Carlos Pinheiro , F. C. Khanna

A new, globally regular model describing a static, non spherical gravitating object in General Relativity is presented. The model is composed by a vacuum Weyl--Levi-Civita special field - the so called gamma metric - generated by a regular…

General Relativity and Quantum Cosmology · Physics 2014-11-17 L. Herrera , G. Magli , D. Malafarina

In this work, the dynamic of isolated systems in general relativity is described when gravitational radiation and electromagnetic fields are present. In this construction, the asymptotic fields received at null infinity together with the…

General Relativity and Quantum Cosmology · Physics 2017-12-01 G. D. Quiroga

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

We hereby study the properties of a large class of weakly nonlocal gravitational theories around the (anti-) de Sitter spacetime background. In particular, we explicitly prove that the kinetic operator for the graviton field has the same…

High Energy Physics - Theory · Physics 2018-08-16 Alexey S. Koshelev , K. Sravan Kumar , Leonardo Modesto , Leslaw Rachwal

For a spatially flat Friedmann model with line element $ds^2=a^2 [ da^2/B(a)-dx^2-dy^2-dz^2 ] $, the 00-component of the Einstein field equation reads $8\pi G T_{00}=3/a^2$ containing no derivative. For a nonlinear Lagrangian ${\cal L}(R)$,…

General Relativity and Quantum Cosmology · Physics 2016-11-23 S. Capozziello , G. Lambiase , H. -J. Schmidt

We model massive compact objects in galactic nuclei as stationary, axially-symmetric naked singularities in the Einstein-massless scalar field theory and study the resulting gravitational lensing. In the weak deflection limit we study…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Galin N. Gyulchev , Stoytcho S. Yazadjiev

Extensions of Einstein gravity with quadratic curvature terms in the action arise in most effective theories of quantised gravity, including string theory. This article explores the set of static, spherically symmetric and asymptotically…

High Energy Physics - Theory · Physics 2015-12-22 H. Lü , A. Perkins , C. N. Pope , K. S. Stelle

The starting point of this work was an intriguing similarity between the behaviour of fields near a degenerate horizon and near the infinity of an asymptotically flat spacetime, as revealed by the scattering theory for Dirac fields in the…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Jack Borthwick , Eric Gourgoulhon , Jean-Philippe Nicolas

We consider Maxwell fields associated with any shear-free null geodesic congruence on Minkowski or Riemannian background space-time. Bounded singular loci of these fields are treated as particle-like formations, possess "self-quantized"…

General Relativity and Quantum Cosmology · Physics 2016-11-09 Vladimir V. Kassandrov , Vladimir N. Trishin

We employ the semiclassical approximation to the Wheeler-DeWitt equation in the spatially flat de Sitter Universe to investigate the dynamics of a minimally coupled scalar field near the Planck scale. We find that, contrary to naive…

General Relativity and Quantum Cosmology · Physics 2008-11-07 Corrado Appignani , Roberto Casadio

Black holes are found to exist in gravitational theories with the presence of quadratic curvature terms and behave differently from the Schwarzschild solution. We present an exhaustive analysis for determining the quasinormal modes of a…

High Energy Physics - Theory · Physics 2016-01-20 Yi-Fu Cai , Hezi Zhang , Junyu Liu , Gong Cheng , Min Wang

We consider static spacetimes whose spatial part admits foliations with the extrinsic curvature tensor K_{ab}=0. There are two complementary cases when the gradient of the lapse function points 1) to the direction of foliation or 2)…

General Relativity and Quantum Cosmology · Physics 2007-05-23 O. B. Zaslavskii

In a previous paper, we presented new results on non-Riemannian geometry. For an asymmetric connection, we showed that a projective change in the symmetric part generates a vector field that is not arbitrary, but is the gradient of a…

General Physics · Physics 2018-07-25 A. C. V. V. de Siqueira

We investigate the problem of finding a pure spin-connection formulation of General Relativity with non-vanishing cosmological constant. We first revisit the problem at the linearised level and find that the pure spin-connection, quadratic…

High Energy Physics - Theory · Physics 2016-06-29 Thomas Basile , Xavier Bekaert , Nicolas Boulanger

Previous work has demonstrated that the gravitational field equations in all Lanczos-Lovelock models imply a thermodynamic identity TdS=dE+PdV (where the variations are interpreted as changes due to virtual displacement along the affine…

General Relativity and Quantum Cosmology · Physics 2015-10-16 Sumanta Chakraborty , Krishnamohan Parattu , T. Padmanabhan