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The asymptotic behaviour of the components of the Weyl tensor and of the energy-momentum tensor in the Penrose limit is determined. In both cases a peeling-off property is found. Examples of different types of matter are provided. The…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Kerstin E. Kunze

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

Inspired by interaction of gravitational waves and dark matters, we study the Bondi-Sachs formalism for Einstein massless scalar field with zero cosmological constant. We provide asymptotic expansions for the Bondi-Sachs metrics as well as…

General Relativity and Quantum Cosmology · Physics 2024-10-29 Jialue Li , Xiao Zhang

In the theory of General Relativity, gravity is described by a metric which couples minimally to the fields representing matter. We consider here its "veiled" versions where the metric is conformally related to the original one and hence is…

General Relativity and Quantum Cosmology · Physics 2015-05-19 Nathalie Deruelle , Misao Sasaki

We consider two- and three-dimensional gravity and gravity-capillary solitary water waves in infinite depth. Assuming algebraic decay rates for the free surface and velocity potential, we show that the velocity potential necessarily behaves…

Analysis of PDEs · Mathematics 2021-07-30 Miles H. Wheeler

We study the evolution of an anisotropic shear-free fluid with heat flux and kinematic self-similarity of the second kind. We found a class of solution to the Einstein field equations by assuming that the part of the tangential pressure…

General Relativity and Quantum Cosmology · Physics 2014-05-13 R. Chan , M. F. A. da Silva , C. F. C. Brandt

We analyze the quantum mechanical equivalence of the metrics of a centrally symmetric uncharged gravitational field. We consider the static Schwarzschild metric in spherical and isotropic coordinates, the stationary Eddington-Finkelstein…

General Physics · Physics 2019-04-19 M. V. Gorbatenko , V. P. Neznamov

Several features of electrostatics of point charged particles in a weak, homogeneous, gravitational field are discussed using the Rindler metric to model the gravitational field. Some previously known results are obtained by simpler and…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Hamsa Padmanabhan , T. Padmanabhan

The Schwarzschild geometry is investigated within the context of effective-field-theory models of gravity. Starting from its harmonic-coordinate expression, we derive the metric in standard coordinates by keeping the leading one-loop…

General Relativity and Quantum Cosmology · Physics 2024-01-08 Emmanuele Battista

We analyze the directional properties of general gravitational, electromagnetic, and spin-s fields near conformal infinity I. The fields are evaluated in normalized tetrads which are parallelly propagated along null geodesics which approach…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pavel Krtous , Jiri Podolsky

We formulate a generic Newtonian like analogous potential for static spherically symmetric general relativistic (GR) spacetime, and subsequently derived proper Newtonian like analogous potential corresponding to Janis-Newman-Winicour (JNW)…

General Relativity and Quantum Cosmology · Physics 2015-11-09 Shubhrangshu Ghosh , Tamal Sarkar , Arunava Bhadra

We review recent developments and applications of the classification of the Weyl tensor in higher dimensional Lorentzian geometries. First, we discuss the general setup, i.e. main definitions and methods for the classification, some…

General Relativity and Quantum Cosmology · Physics 2012-12-17 Marcello Ortaggio , Vojtech Pravda , Alena Pravdova

We show that we can derive the asymptotic Einstein's equations that arises at order $1/r$ in asymptotically flat gravity purely from symmetry considerations. This is achieved by studying the transformation properties of functionals of the…

High Energy Physics - Theory · Physics 2022-11-04 Laurent Freidel , Daniele Pranzetti

A totally asymptotically free QCD axion model, where all couplings flow to zero in the infinite energy limit, was recently formulated. A very interesting feature of this fundamental theory is the ability to predict some low-energy…

High Energy Physics - Phenomenology · Physics 2020-12-30 Anish Ghoshal , Alberto Salvio

The vacuum Einstein equations admit a formulation closely analogous to the source-free Maxwell theory. In particular, the linearized equations exhibit an electric-magnetic duality symmetry. We develop a framework that makes this analogy…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Adrian del Rio , Javier Olmedo , António Torres Manso

We study the approach to gravity in which our curved spacetime is considered as a surface in a flat ambient space of higher dimension (the embedding theory). The dynamical variable in this theory is not a metric but an embedding function.…

General Relativity and Quantum Cosmology · Physics 2014-09-02 A. A. Sheykin , S. A. Paston

We argue that finite-region observables in quantum gravity are best approached in terms of boundary data on null hypersurfaces. This has far-reaching effects on the basic notions of classical and quantum mechanics, such as Hamiltonians and…

High Energy Physics - Theory · Physics 2013-09-23 Yasha Neiman

The qualitative properties of spatially homogeneous stiff perfect fluid and minimally coupled massless scalar field models within general relativity are discussed. Consequently, by exploiting the formal equivalence under conformal…

Astrophysics · Physics 2015-06-24 A. A. Coley

We consider the free matter of global textures within the framework of the perfect fluid approximation in general relativity. We examine thermodynamical properties of texture matter in comparison with radiation fluid and bubble matter. Then…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Konstantin G. Zloshchastiev

An interesting question is to characterize the general class of allowed boundary conditions for gauge theories, including gravity, at spatial and null infinity. This has played a role in discussions of soft charges, where antipodal symmetry…

High Energy Physics - Theory · Physics 2020-01-08 Steven B. Giddings