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A more conventional realization of a symmetry which had been proposed towards the solution of cosmological constant problem is considered. In this study the multiplication of the coordinates by the imaginary number $i$ in the literature is…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Recai Erdem

We investigate $D$-dimensional gravitational model with curvature-quadratic and curvature-quartic correction terms: $R+R^2+R^4$. It is assumed that the corresponding higher dimensional spacetime manifold undergos a spontaneous…

High Energy Physics - Theory · Physics 2008-11-26 Tamerlan Saidov , Alexander Zhuk

Mass and other conserved Noether charges are discussed for solutions of gravity theories with locally Anti-de Sitter asymptotics in 2n dimensions. The action is supplemented with a boundary term whose purpose is to guarantee that it reaches…

High Energy Physics - Theory · Physics 2009-10-31 Rodrigo Aros , Mauricio Contreras , Rodrigo Olea , Ricardo Troncoso , Jorge Zanelli

We define space-times which are asymptotic to radiation dominant Friedman-Robertson-Walker space-times at timelike infinity and study the asymptotic structure. We discuss the local asymptotic symmetry and give a definition of the total…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Tetsuya Shiromizu , Uchida Gen

The problem of finite-dimensional asymptotics of infinite-dimensional dynamic systems is studied. A non-linear kinetic system with conservation of supports for distributions has generically finite-dimensional asymptotics. Such systems are…

Statistical Mechanics · Physics 2008-10-03 A. N. Gorban

We revisit the status of asymptotic symmetries in higher even dimensions and propose a definition of superrotation charge beyond linearized gravity. We prove that there is a well-defined spacetime action of the superrotation charge on the…

High Energy Physics - Theory · Physics 2023-01-11 Chandramouli Chowdhury , Anupam A. H. , Arpan Kundu

Large gauge symmetries in Minkowski spacetime are often studied in two distinct regimes: either at asymptotic (past or future) times or at spatial infinity. By working in harmonic gauge, we provide a unified description of large gauge…

High Energy Physics - Theory · Physics 2018-01-17 Miguel Campiglia , Rodrigo Eyheralde

Various equivalences between so-called soft theorems which constrain scattering amplitudes and Ward identities related to asymptotic symmetries have recently been established in gauge theories and gravity. So far these equivalences have…

High Energy Physics - Theory · Physics 2015-05-21 Miguel Campiglia , Alok Laddha

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 consider in more detail the covariant counterterm proposed by Mann and Marolf in asymptotically flat spacetimes. With an eye to specific practical computations using this counterterm, we present explicit expressions in general $d$…

High Energy Physics - Theory · Physics 2008-11-26 Dumitru Astefanesei , Robert B. Mann , Cristian Stelea

The 4-dimensional space-time is extended to pseudo-complex coordinates. Proposing the standard quantization rules in this extended space, the ones for the 4-dimensional sub-space acquire, as one solution, the commutation relations with…

General Relativity and Quantum Cosmology · Physics 2014-09-23 Peter O. Hess

In this article and its sequel we discuss the asymptotic structure of space-times representing isolated bodies in General Relativity. Such space-times are usually required to be asymptotically flat (AF), and thus to have a prescribed type…

General Relativity and Quantum Cosmology · Physics 2013-10-02 Martin Reiris

In this thesis, the symmetry structure of gravitational theories at null infinity is studied further, in the case of pure gravity in four dimensions and also in the case of Einstein-Yang-Mills theory in $d$ dimensions with and without a…

General Relativity and Quantum Cosmology · Physics 2015-08-11 Pierre-Henry Lambert

Using hyperbolic temporal and spatial cut-offs to define 4d asymptotically flat spacetimes, we show that supertranslation ambiguities in the asymptotic fields can all be removed even in the presence of gravitational magnetic charges. We…

High Energy Physics - Theory · Physics 2011-10-11 Amitabh Virmani

Three-dimensional Einstein-Maxwell theory with non trivial asymptotics at null infinity is solved. The symmetry algebra is a Virasoro-Kac-Moody type algebra that extends the bms3 algebra of the purely gravitational case. Solution space…

General Relativity and Quantum Cosmology · Physics 2015-11-26 Glenn Barnich , Pierre-Henry Lambert , Pujian Mao

We explore the question why our universe is four dimensional from an asymptotically safe vantage point. We find hints that asymptotically safe quantum fluctuations of gravity can only solve the $U(1)$ Landau-pole problem in the Standard…

High Energy Physics - Theory · Physics 2019-05-08 Astrid Eichhorn , Marc Schiffer

In this article, Generalized Principle of "limiting 4-dimensional symmetry": The laws of physics in non-inertial frames must display the 4-dimensional symmetry of the Generalized Lorentz-Poincare group in the limit of zero acceleration,is…

General Physics · Physics 2009-09-26 Jaykov Foukzon , S. A. Podosenov

A systematic asymptotic expansion is developed for the gravitational wave degrees of freedom of a class of expanding, vacuum Gowdy cosmological spacetimes. In the wave map description of these models, the evolution of the gravitational wave…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Beverly K. Berger

Null infinity in asymptotically flat spacetimes posses a rich mathematical structure; including the BMS group and the Bondi news tensor that allow one to study gravitational radiation rigorously. However, FLRW spacetimes are not…

General Relativity and Quantum Cosmology · Physics 2020-11-17 Béatrice Bonga , Kartik Prabhu

We examine in a cosmological context the conditions for unbroken supersymmetry in N=1 supergravity in D=10 dimensions. We show that the cosmological solutions of the equations of motion obtained considering only the bosonic sector…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Stefano Foffa , Michele Maggiore , Riccardo Sturani