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Global structure of the (anti-)de~Sitter ((A)dS) generalization of the Roberts solution in general relativity with a massless scalar field and its topological generalization is clarified. In the case with a negative cosmological constant,…

General Relativity and Quantum Cosmology · Physics 2021-11-02 Hideki Maeda

This paper studies the reduced phase space formulation (relational formalism) of gravity coupling to the Brown-Kucha\v r dust for asymptotic flat spacetimes. A set of boundary conditions for the asymptotic flatness are formulated for Dirac…

General Relativity and Quantum Cosmology · Physics 2023-09-08 Muxin Han , Zichang Huang , Hongwei Tan

After a review of symmetries and classical solutions involved in the AdS3/CFT2 correspondence, we apply a similar analysis to asymptotically flat spacetimes at null infinity in 3 and 4 dimensions. In the spirit of two dimensional conformal…

High Energy Physics - Theory · Physics 2010-12-09 Glenn Barnich , Cedric Troessaert

We construct a canonical quantization of the two dimensional theory of a parametrized scalar field on noncompact spatial slices. The kinematics is built upon generalized charge-network states which are labelled by smooth embedding…

General Relativity and Quantum Cosmology · Physics 2014-04-09 Sandipan Sengupta

Asymptotic symmetries in Carrollian gravitational theories in 3+1 space and time dimensions obtained from "magnetic" and "electric" ultrarelativistic contractions of General Relativity are analyzed. In both cases, parity conditions are…

High Energy Physics - Theory · Physics 2022-01-05 Alfredo Pérez

We study the conformally reduced $R+R^2$ theory of gravity and we show that the theory is asymptotically safe with an ultraviolet critical manifold of dimension three. In particular, we discuss the universality properties of the fixed point…

High Energy Physics - Theory · Physics 2023-07-26 Alfio Maurizio Bonanno , Maria Conti , Sergio Luigi Cacciatori

We study the utilization of conformal compactification within the conformal approach to solving the constraints of general relativity for asymptotically flat initial data. After a general discussion of the framework, particular attention is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sascha Husa

The classification of all possible induced representations arising from theories admitting a Poincar\'e symmetry has molded our very conception of particles in flat space. In this note, we argue that if one takes the same viewpoint on the…

High Energy Physics - Theory · Physics 2025-06-16 Shadi Ali Ahmad

This thesis is devoted to exploring various fundamental issues within asymptotic safety. Firstly, we study the reconstruction problem and present two ways in which to solve it within the context of scalar field theory, by utilising a…

High Energy Physics - Theory · Physics 2018-12-19 Zoë H. Slade

We prove the existence of a large class of asymptotically flat initial data with non-vanishing mass and angular momentum for which the metric and the extrinsic curvature have asymptotic expansions at space-like infinity in terms of powers…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sergio Dain , Helmut Friedrich

We consider four-dimensional Einstein gravity minimally coupled to a dilaton scalar field with a supergravity-inspired scalar potential. We obtain an exact time-dependent spherically symmetric solution describing gravitational collapse to a…

High Energy Physics - Theory · Physics 2014-10-21 Xuefeng Zhang , H. Lu

We argue that a (slightly) curved space-time probed with a finite resolution, equivalently a finite minimal length, is effectively described by a flat non-commutative space-time. More precisely, a small cosmological constant (so a constant…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Florian Girelli , Etera R. Livine , Daniele Oriti

We begin by emphasizing that we are dealing with standard Einstein or Einstein-Maxwell theory - absolutely no new physics has been inserted. The fresh item is that the well-known asymptotically flat solutions of the Einstein-Maxwell theory…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Ezra T. Newman

This is the second of two papers that study the asymptotic structure of space-times with a non-negative cosmological constant $\Lambda$. This paper deals with the case $\Lambda >0$. Our approach is founded on the `tidal energies' built with…

General Relativity and Quantum Cosmology · Physics 2022-08-23 Francisco Fernández-Álvarez , José M. M. Senovilla

We investigate the geometrical and physical structures of a pseudo-symmetric spacetime $(PS)_4$ with timelike vector under the condition of conformal flatness. We classify it into two possible types: constant Ricci scalar and closed…

General Relativity and Quantum Cosmology · Physics 2021-12-09 Avik De , Simran Arora , Uday Chand De , P. K. Sahoo

We present a class of theories of two dimensional gravity which admits homogeneous and isotropic solutions that are nonsingular and asymptotically approach a FRW matter dominated universe at late times. These models are generalizations of…

General Relativity and Quantum Cosmology · Physics 2011-07-19 R. Moessner , M. Trodden

We study the gravitational field of a spinning radiation beam-pulse (a gyraton) in a D-dimensional asymptotically AdS spacetime. It is shown that the Einstein equations for such a system reduce to a set of two linear equations in a…

High Energy Physics - Theory · Physics 2015-06-26 Valeri P. Frolov , Andrei Zelnikov

We consider conformal and scale-invariant gravities in d dimensions, with a special focus on pure $R^2$ gravity in the scale-invariant case. In four dimensions, the structure of these theories is well known. However, in dimensions larger…

High Energy Physics - Theory · Physics 2025-06-24 Anamaria Hell , Dieter Lust

We analyze the evolution of a Friedmann-Robertson-Walker spacetime within the framework of $f(R)$ metric gravity using an exponential model. We show that $f(R)$ gravity may lead to a vanishing effective cosmological constant in the far…

General Relativity and Quantum Cosmology · Physics 2018-10-31 Luisa G. Jaime , Marcelo Salgado

We develop a local theory for the construction of singular spacetimes in all spacetime dimensions which become asymptotically self-similar as the singularity is approached. The techniques developed also allow us to construct and classify…

General Relativity and Quantum Cosmology · Physics 2018-02-27 Igor Rodnianski , Yakov Shlapentokh-Rothman
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