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This paper is the fourth in a series dedicated to the mathematically rigorous asymptotic analysis of gravitational radiation under astrophysically realistic setups. It provides an overview of the physical ideas involved in setting up the…

广义相对论与量子宇宙学 · 物理学 2025-08-20 Lionor Kehrberger

General relativity allows for inhomogeneous and anisotropic universes with finite action. By contrast, in quadratic gravity such solutions obtain infinite action and are thus eliminated. What remains are homogeneous and isotropic solutions…

高能物理 - 理论 · 物理学 2023-12-22 Jean-Luc Lehners , K. S. Stelle

Unimodular gravity is classically equivalent to General Relativity. This equivalence extends to actions which are functions of the curvature scalar. At the quantum level, the dynamics could differ. Most importantly, the cosmological…

广义相对论与量子宇宙学 · 物理学 2015-05-20 Astrid Eichhorn

This thesis is divided in two parts. The first part contains the study of some properties of the electromagnetic duality in 4 dimensions. An extended double potential formalism for linearized gravity is introduced which allows to write an…

高能物理 - 理论 · 物理学 2013-12-23 Cedric Troessaert

A review of our results on the asymptotic structure of gravity at spatial infinity in four spacetime dimensions is given. Finiteness of the action and integrability of the asymptotic Lorentz boost generators are key criteria that we…

高能物理 - 理论 · 物理学 2023-06-06 Marc Henneaux , Cédric Troessaert

This paper is concerned with parabolic gradient systems of the form \[ u_t = -\nabla V(u) + \Delta_x u \,, \] where the space variable $x$ and the state variable $u$ are multidimensional, and the potential $V$ is coercive at infinity. For…

偏微分方程分析 · 数学 2023-06-27 Emmanuel Risler

It is well known that General Relativity cannot be considered under the standard of a perturbatively renormalizable quantum field theory, but asymptotic safety is taken into account as a possibility for the formulation of gravity as a…

广义相对论与量子宇宙学 · 物理学 2021-11-29 Francesco Bajardi , Francesco Bascone , Salvatore Capozziello

We perform a detailed dynamical analysis of various cosmological scenarios in extended (varying-mass) nonlinear massive gravity. Due to the enhanced freedom in choosing the involved free functions, this cosmological paradigm allows for a…

宇宙学与河外天体物理 · 物理学 2013-06-05 Genly Leon , Joel Saavedra , Emmanuel N. Saridakis

We compute asymptotic symmetry algebras of conformal gravity. Due to more general boundary conditions allowed in conformal gravity in comparison to those in Einstein gravity, we can classify the corresponding algebras. The highest algebra…

高能物理 - 理论 · 物理学 2017-11-22 M. Irakleidou , I. Lovrekovic

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…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Juan A. Valiente Kroon

A heuristic method to find asymptotic solutions to a system of non-linear wave equations near null infinity is proposed. The non-linearities in this model, dubbed good-bad-ugly, are known to mimic the ones present in the Einstein field…

广义相对论与量子宇宙学 · 物理学 2021-07-07 Miguel Duarte , Justin Feng , Edgar Gasperin , David Hilditch

Asymptotically safe theories of gravitation have received great attention in recent times. In this framework an effective action embodying the basic features of the renormalized flow around the non-gaussian fixed point is derived and its…

高能物理 - 理论 · 物理学 2015-06-04 Alfio Bonanno

Three-dimensional Einstein gravity coupled to zero, one and two forms is solved in terms of a polyhomogeneous asymptotic expansion, generalising stationary black string solutions. From first order terms we obtain, in closed form, a new…

高能物理 - 理论 · 物理学 2019-09-04 Philippe Spindel

Teleparallel gravity models, in which the curvature and the nonmetricity of spacetime are both set zero, are widely studied in the literature. We work a different teleparallel theory, in which the curvature and the torsion of spacetime are…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Muzaffer Adak , Ozcan Sert

The question whether global symmetries can be realized in quantum-gravity-matter-systems has far-reaching phenomenological consequences. Here, we collect evidence that within an asymptotically safe context, discrete global symmetries of the…

广义相对论与量子宇宙学 · 物理学 2021-09-06 Passant Ali , Astrid Eichhorn , Martin Pauly , Michael M. Scherer

We investigate the cosmological behavior in a universe governed by time asymmetric extensions of general relativity, which is a novel modified gravity based on the addition of new, time-asymmetric, terms on the Hamiltonian framework, in a…

广义相对论与量子宇宙学 · 物理学 2015-11-11 Genly Leon , Emmanuel N. Saridakis

We suggest a novel version of a cosmological Genesis model within beyond Horndeski theory. It combines the initial Genesis behavior of Creminelli et al. [arXiv:1007.0027, arXiv:1209.3768] with complete stability property of the previous…

高能物理 - 理论 · 物理学 2019-10-23 S. Mironov , V. Rubakov , V. Volkova

We discuss the renormalization properties of noncommutative supersymmetric theories. We also discuss how the gauge field plays a role similar to gravity in noncommutative theories.

高能物理 - 理论 · 物理学 2009-11-10 Victor O. Rivelles

The asymptotic safety scenario in quantum gravity is reviewed, according to which a renormalizable quantum theory of the gravitational field is feasible which reconciles asymptotically safe couplings with unitarity. All presently known…

广义相对论与量子宇宙学 · 物理学 2010-11-02 M. Niedermaier

Asymptotic safety is a candidate for a predictive quantum theory of gravity and matter. Recent works (arXiv:2412.10194 and arXiv:2412.14108) challenged this scenario. We show that their arguments fail on a basic level.