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The possibility of the extension of spatial diffeomorphisms to a larger family of symmetries in a class of classical field theories is studied. The generator of the additional local symmetry contains a quadratic kinetic term and a potential…

高能物理 - 理论 · 物理学 2015-05-18 Szilard Farkas , Emil J. Martinec

Some bouncing models are investigated in the framework of an extended theory of gravity. The extended gravity model is a simple extension of the General Relativity where an additional matter geometry coupling is introduced to account for…

广义相对论与量子宇宙学 · 物理学 2021-06-10 S K Tripathy , B Mishra , Saibal Ray , Rikpratik Sengupta

We propose a novel theory of gravity that by construction is renormalizable, evades Ostragadsky's no-go theorem, is locally scale-invariant in the high-energy limit, and equivalent to general relativity in the low-energy limit. The theory…

广义相对论与量子宇宙学 · 物理学 2020-07-13 Daniel Coumbe

One of the virtues of the Ashtekar variables is the simplification of the initial value constraints for gravity. In the case of self-dual variables this entails a complexification of the phase space which comes at the expense of having to…

广义相对论与量子宇宙学 · 物理学 2013-11-25 Eyo Eyo Ita

In teleparallel gravity, we apply Lorenz type gauge fixing to cope with redundant degrees of freedom in the vierbein field. This condition is mainly to restore the Lorentz symmetry of the teleparallel torsion scalar. In cosmological…

广义相对论与量子宇宙学 · 物理学 2017-07-27 W. El Hanafy , G. G. L. Nashed

Inspired by the low wave-length limit of topological M-theory, which re-constructs the theory of $3+1$D gravity in the self-dual variables' formulation, and by the realization that in Loop Quantum Gravity the holonomy of a flat connection…

高能物理 - 理论 · 物理学 2018-03-02 Andrea Addazi , Antonino Marciano

New corrections to General Relativity are considered in the context of modified $f(R)$ gravity, that satisfy cosmological and local gravity constraints. The proposed models behave asymptotically as $R-2\Lambda$ at large curvature and show…

广义相对论与量子宇宙学 · 物理学 2022-01-13 L. N. Granda

In its canonical formulation, general relativity is subject to gauge transformations that are equivalent to space-time coordinate changes of general covariance only when the gauge generators, given by the Hamiltonian and diffeomorphism…

广义相对论与量子宇宙学 · 物理学 2023-10-31 Martin Bojowald , Erick I. Duque

The teleparallel formulation of gravity theories reveals close structural analogies to electrodynamics, which are more hidden in their usual formulation in terms of the curvature of spacetime. We show how every locally Lorentz invariant…

广义相对论与量子宇宙学 · 物理学 2018-06-05 Manuel Hohmann , Laur Järv , Martin Krššák , Christian Pfeifer

Emergent gravity is based on the Darboux theorem or the Moser lemma in symplectic geometry stating that the electromagnetic force can always be eliminated by a local coordinate transformation as far as U(1) gauge theory is defined on a…

高能物理 - 理论 · 物理学 2013-06-10 Sunggeun Lee , Raju Roychowdhury , Hyun Seok Yang

We study the gravitational helicity using the covariant phase space method. Starting from the covariant phase space of general relativity expressed in terms of connection variables, we construct the symplectic form and identify a duality…

广义相对论与量子宇宙学 · 物理学 2026-05-28 Xiao-Kan Guo , Shupeng Song

It is known that if gauge conditions have Gribov zero modes, then topological symmetry is broken. In this paper we apply it to topological gravity in dimension $n \geq 3$. Our choice of the gauge condition for conformal invariance is…

高能物理 - 理论 · 物理学 2015-06-26 Akifumi Sako

The field equations of the recent nonlocal generalization of Einstein's theory of gravitation are presented in a form that is reminiscent of general relativity. The implications of the nonlocal field equations are studied in the case of…

广义相对论与量子宇宙学 · 物理学 2016-05-24 Donato Bini , Bahram Mashhoon

Fermionic terms in a class of locally supersymmetric theories called "liberated supergravity" are nonrenormalizable interactions proportional to inverse powers of the supersymmetry breaking scale and Planck mass. This property defines an…

高能物理 - 理论 · 物理学 2021-01-13 Hun Jang , Massimo Porrati

Assuming spherical symmetry and weak field, it is shown that if one solves the Poisson equation or the Einstein field equations sourced by a topological defect, \ie~a singularity of a very specific form, the result is a localised…

综合物理 · 物理学 2024-06-10 Richard Lieu

We study the effect of the slab topology $T\times R\times R$ of the Universe on the form of gravitational potentials and forces created by point-like masses. We obtain two alternative forms of solutions: one is based on the Fourier series…

广义相对论与量子宇宙学 · 物理学 2021-12-30 M. Eingorn , N. O'Briant , K. Arzu , M. Brilenkov , A. Zhuk

This article is an overview of the use of so-called Euclidean Dynamical Triangulations (EDT) and Causal Dynamical Triangulations (CDT) as lattice regularizations of quantum gravity. The lattice regularizations have been very successful in…

高能物理 - 格点 · 物理学 2023-06-28 Jan Ambjorn

In a foregoing paper, gravity has been interpreted as the pressure force exerted on matter at the scale of elementary particles by a perfect fluid. Under the condition that Newtonian gravity must be recovered in the incompressible case, a…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Mayeul Arminjon

After a brief review of topological gravity, we present a superspace approach to this theory. This formulation allows us to recover in a natural manner various known results and to gain some insight into the precise relationship between…

广义相对论与量子宇宙学 · 物理学 2009-11-10 C. P. Constantinidis , A. Deandrea , F. Gieres , M. Lefrancois , O. Piguet

We show that the well-known problem of frame dependence and violation of local Lorentz invariance in the usual formulation of $f(T)$ gravity is a consequence of neglecting the role of spin connection. We re-formulate $f(T)$ gravity…

广义相对论与量子宇宙学 · 物理学 2016-05-06 Martin Krššák , Emmanuel N. Saridakis
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