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We consider a recently proposed extension of the Bondi-Metzner-Sachs algebra to include arbitrary infinitesimal diffeomorphisms on a (2)-sphere. To realize this extended algebra as asymptotic symmetries, we work with an extended class of…

广义相对论与量子宇宙学 · 物理学 2020-01-06 Éanna É. Flanagan , Kartik Prabhu , Ibrahim Shehzad

A nonrelativistic approach to quantum gravity is studied. At least for weak gravitational fields it should be a valid approximation. Such an approach can be used to point out problems and prospects inherent in a more exact theory of quantum…

广义相对论与量子宇宙学 · 物理学 2010-05-27 Johan Hansson

Extended Theories of Gravity can be considered a new paradigm to cure shortcomings of General Relativity at infrared and ultraviolet scales. They are an approach that, by preserving the undoubtedly positive results of Einstein's Theory, is…

广义相对论与量子宇宙学 · 物理学 2015-05-30 Salvatore Capozziello , Mariafelicia De Laurentis

Extensions of the gravity theory in order to obtain traceless field equations have been widely considered in the literature. The leading example of such class of theories is the unimodular gravity, but there are other possibilities like the…

广义相对论与量子宇宙学 · 物理学 2019-12-23 Mahamadou Daouda , J. C. Fabris , A. M. Oliveira , F. Smirnov , H. E. S. Velten

The Nordstr\"om-Vlasov system is a relativistic Lorentz invariant generalization of the Vlasov-Poisson system in the gravitational case. The asymptotic behavior of solutions and the non-linear stability of steady states are investigated. It…

数学物理 · 物理学 2009-11-13 Simone Calogero , Oscar Sanchez , Juan Soler

Some cosmological solutions of the unimodular theory of gravity are studied. These solutions can always be mapped to solutions of Einstein's general relativity in an appropiate frame. Constant scalar potentials however do not gravitate.…

高能物理 - 理论 · 物理学 2013-10-14 Enrique Alvarez , Mario Herrero-Valea

We study the nature of asymptotic symmetries in topological 3d gravity with torsion. After introducing the concept of asymptotically anti-de Sitter configuration, we find that the canonical realization of the asymptotic symmetry is…

广义相对论与量子宇宙学 · 物理学 2009-11-10 M. Blagojevic , M. Vasilic

Geodesic incompleteness is a problem in both general relativity and string theory. The Weyl invariant Standard Model coupled to General Relativity (SM+GR), and a similar treatment of string theory, are improved theories that are…

高能物理 - 理论 · 物理学 2016-02-17 Itzhak Bars , Albin James

Linearized gravitational waves in de Sitter space-time are analyzed in detail to obtain guidance for constructing the theory of gravitational radiation in presence of a positive cosmological constant in full, nonlinear general relativity.…

广义相对论与量子宇宙学 · 物理学 2015-09-02 Abhay Ashtekar , Béatrice Bonga , Aruna Kesavan

The objective of this thesis is to present a viable extension of general relativity free from cosmological singularities. A viable cosmology, in this sense, is one that is free from ghosts, tachyons or exotic matter, while staying true to…

广义相对论与量子宇宙学 · 物理学 2017-04-25 Aindriú Conroy

The paper is the first of two parts of the work devoted to the investigation of constructing quantum theory of a closed universe as a system without asynptotic states. In Part I the role of asymptotic states in quantum theory of gravity is…

广义相对论与量子宇宙学 · 物理学 2007-05-23 V. A. Savchenko , T. P. Shestakova , G. M. Vereshkov

We show that if an asymptotically flat manifold with horizon boundary admits a global static potential, then the static potential must be zero on the boundary. We also show that if an asymptotically flat manifold with horizon boundary…

微分几何 · 数学 2017-10-03 Lan-Hsuan Huang , Daniel Martin , Pengzi Miao

There seems to be a common prejudice that asymptotic safety is either incompatible with, or at best unrelated to, the other topics in the title. This is not the case. In fact, we show that 1) the existence of a fixed point with suitable…

高能物理 - 理论 · 物理学 2011-01-13 R. Percacci , G. P. Vacca

The observed accelerated cosmic expansion is problematic in that it seems to require an otherwise unobserved dark energy for its origin. A possible alternative explanation has been recently given, which attempts to account for this…

广义相对论与量子宇宙学 · 物理学 2011-08-26 Daniel J. Cross

We investigate FRW cosmological solutions in the theory of modulus field coupled to gravity through a Gauss-Bonnet term. The explicit analytical forms of nonsingular asymptotics are presented for power-law and exponentially steep modulus…

广义相对论与量子宇宙学 · 物理学 2009-10-31 S. O. Alexeyev , A. V. Toporensky , V. O. Ustiansky

Bianchi VIII vacuum solutions to Einstein's equations are causally geodesically complete to the future, given an appropriate time orientation, and the objective of this article is to analyze the asymptotic behaviour of solutions in this…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Hans Ringstrom

In this article, we focus on symmetric teleparallel gravity, a modification of General Relativity where gravity is described by the non-metricity of an affine connection, whose curvature and torsion vanish. In these theories, the…

广义相对论与量子宇宙学 · 物理学 2024-12-17 Manuel Hohmann , Vasiliki Karanasou

We study the symmetry properties of the weak positive solutions to a class of quasi-linear elliptic problems having a variational structure. On this basis, the asymptotic behaviour of global solutions of the corresponding parabolic…

偏微分方程分析 · 数学 2009-10-09 Luigi Montoro , Berardino Sciunzi , Marco Squassina

We analyze the asymptotic symmetries and their associated charges at spatial infinity in $4$-dimensional asymptotically-flat spacetimes. We use the covariant formalism of Ashtekar and Hansen where the asymptotic fields and symmetries live…

广义相对论与量子宇宙学 · 物理学 2020-08-05 Kartik Prabhu , Ibrahim Shehzad

Experiments are beginning to probe the interaction of quantum particles with gravitational fields beyond the uniform-field regime. In non-relativistic quantum mechanics, the gravitational field in such experiments can be written as a…