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We define the notion of energy, and compute its values, for gravitational systems involving terms quadratic in curvature. While our construction parallels that of ordinary Einstein gravity, there are significant differences both…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , Bayram Tekin

Asymptotic Safety implies that observables including scattering amplitudes remain finite at the highest energy scales. Traditionally, this feature is connected to an interacting fixed point of the Wilsonian renormalization group that…

High Energy Physics - Theory · Physics 2022-10-31 Benjamin Knorr , Chris Ripken , Frank Saueressig

In this paper, we show that a universe with a dynamical cosmological constant approaching pure de Sitter at timelike infinity, enjoys an infinite dimensional symmetry group at its horizon. This group is larger than the usual $SO(4,1)$ of…

High Energy Physics - Theory · Physics 2019-04-04 Fatemeh Mahdieh , Hossein Shojaie

We study warped flat geometries in three-dimensional topologically massive gravity. They are quotients of global warped flat spacetime, whose isometries are given by the 2-dimensional centrally extended Poincar\'e algebra. The latter can be…

High Energy Physics - Theory · Physics 2021-01-05 Stéphane Detournay , Wout Merbis , Gim Seng Ng , Raphaela Wutte

Because the gravitational Hamiltonian is a pure boundary term on-shell, asymptotic gravitational fields store information in a manner not possible in local field theories. This fact has consequences for both perturbative and…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Donald Marolf

We apply a recent proposal to define "gravitational entropy" to the expansion of cosmic voids within the framework of non-perturbative General Relativity. By considering CDM void configurations compatible with basic observational…

General Relativity and Quantum Cosmology · Physics 2014-08-15 Roberto A. Sussman

Superrotations of asymptotically flat spacetimes in four dimensions can be interpreted in terms of including cosmic strings within the phase space of allowed solutions. In this paper we explore the implications of the inclusion of cosmic…

High Energy Physics - Theory · Physics 2020-01-08 Federico Capone , Marika Taylor

Symmetries of spacetimes with null dust field as a source compatible with asymptotic flatness are studied by using the Bondi-Sachs-van der Burg formalism. It is shown that in an axially symmetric spacetime with null dust field in which at…

General Relativity and Quantum Cosmology · Physics 2007-05-23 U. von der Goenna , A. Pravdova

We study the limit of quasilocal energy defined in [7] and [8] for a family of spacelike 2-surfaces approaching null infinity of an asymptotically flat spacetime. It is shown that Lorentzian symmetry is recovered and an energy-momentum…

Differential Geometry · Mathematics 2015-05-18 PoNing Chen , Mu-Tao Wang , Shing-Tung Yau

The recent introduction of a boundary stress tensor for asymptotically flat spacetimes enabled a new construction of energy, momentum, and Lorentz charges. These charges are known to generate the asymptotic symmetries of the theory, but…

High Energy Physics - Theory · Physics 2008-11-26 Robert B. Mann , Donald Marolf , Robert McNees , Amitabh Virmani

For a spherically symmetric self-gravitating scalar field we study self similar and quasi-self similar solutions in asymptotically flat and AdS spacetimes in various dimensions. Our main approach relies on reducing the Einstein-Klein-Gordon…

General Relativity and Quantum Cosmology · Physics 2015-03-03 Wenli Zhao

We consider asymptotically anti-de Sitter spacetimes in three-dimensional topologically massive gravity with a negative cosmological constant, for all values of the mass parameter $\mu$ ($\mu\neq0$). We provide consistent boundary…

High Energy Physics - Theory · Physics 2009-08-03 Marc Henneaux , Cristian Martinez , Ricardo Troncoso

The Conformal Einstein equations and the representation of spatial infinity as a cylinder introduced by Friedrich are used to analyse the behaviour of the gravitational field near null and spatial infinity for the development of data which…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. A. Valiente Kroon

It is proved that any static system that is spacetime-geodesically complete at infinity, and whose spacelike-topology outside a compact set is that of R^3 minus a ball, is asymptotically flat. The matter is assumed compactly supported and…

General Relativity and Quantum Cosmology · Physics 2015-01-07 Martin Reiris

We reduce the gravitational theory in an asymptotically flat spacetime to future null infinity. We compute the Poincar\'e flux operators at future null infinity and construct the supertranslation and superrotation generators. The generators…

High Energy Physics - Theory · Physics 2023-10-11 Wen-Bin Liu , Jiang Long

A dynamically preferred quasi-local definition of gravitational energy is given in terms of the Hamiltonian of a `2+2' formulation of general relativity. The energy is well-defined for any compact orientable spatial 2-surface, and depends…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Sean A. Hayward

We follow the spirit of a recent proposal to show that previous computations for asymptotically flat spacetimes in four dimensions at null infinity can be re-interpreted in terms of a well-defined holographic current algebra for the time…

High Energy Physics - Theory · Physics 2015-06-17 Glenn Barnich , Cédric Troessaert

Symmetries compatible with asymptotic flatness and admitting gravitational and electromagnetic radiation are studied by using the Bondi-Sachs-van der Burg formalism. It is shown that in axially symmetric electrovacuum spacetimes in which at…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Bicak , A. Pravdova

A finite action principle for Einstein-Gauss-Bonnet AdS gravity is presented. The boundary term, which is different for even and odd dimensions, is a functional of the boundary metric, intrinsic curvature and extrinsic curvature. For even…

High Energy Physics - Theory · Physics 2009-11-11 Georgios Kofinas , Rodrigo Olea

A representation of spatial infinity based in the properties of conformal geodesics is used to obtain asymptotic expansions of the gravitational field near the region where null infinity touches spatial infinity. These expansions show that…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Juan A. Valiente Kroon