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Generating an effective theory of lower-dimensional gravity on a submanifold within an original higher-dimensional theory can be achieved even if the reduction space is non-compact. Localisation of gravity on such a lower-dimensional…

High Energy Physics - Theory · Physics 2022-02-09 C. W. Erickson , Rahim Leung , K. S. Stelle

Relativistic rotation is considered in the limit of angular velocity approaching zero and radial distance approaching infinity, such that centrifugal acceleration is immeasurably small while tangent velocity remains close to the speed of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robert D. Klauber

Discussion of physical realization of coordinates demonstrates that the quantum theory of gravity (still absent) should be non-local and, probably, non-commutative as well.

High Energy Physics - Theory · Physics 2016-11-23 Ya. I. Azimov

In this paper, $f(R,\lm, T)$ gravity is considered. It is a generalization of the theories $f(R,T)$ and $f(R, \lm)$. This modified theory of gravity exhibits strong geometry-matter coupling. The problem of causality and its violation is…

General Relativity and Quantum Cosmology · Physics 2024-11-19 J. S. Gonçalves , A. F. Santos

The coupling of gravity to matter is explored in the linearized gravity limit. The usual derivation of gravity-matter couplings within the quantum-field-theoretic framework is reviewed. A number of inconsistencies between this derivation of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A. D. Speliotopoulos , Raymond Y. Chiao

One of the highlight of this note is that the author presents the relativistic gravity field that Einstein was looking for. The field is a byproduct of the matter in motion. This field can include both the discrete and continuous…

Mathematical Physics · Physics 2009-10-06 Victor M. Bogdan

We make it precise what it means to have a connection with torsion as solution of the Einstein equations. While locally the theory remains the same, the new formulation allows for topologies that would have been excluded in the standard…

High Energy Physics - Theory · Physics 2011-08-02 M. A. Lledo , L. Sommovigo

Factorization of the $N$-point amplitudes in two-dimensional $c=1$ quantum gravity is understood in terms of short-distance singularities arising from the operator product expansion of vertex operators after the Liouville zero mode…

High Energy Physics - Theory · Physics 2009-10-22 Norisuke Sakai , Yoshiaki Tanii

Topological gravity is the reduction of Einstein's theory to spacetimes with vanishing curvature, but with global degrees of freedom related to the topology of the universe. We present an exact Hamiltonian lattice theory for topological…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Henri Waelbroeck , Jose Antonio Zapata

We discuss a no-go theorem for the novel Ricci-inverse theory of modified gravity. By considering a static spherically symmetric matter distribution embedded within a de Sitter cosmology, we demonstrate that achieving a stable Sub-Horizon…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-22 Mattia Scomparin

The conflict between the locality of general relativity, reflected in its space-time description, and the non-locality of quantum mechanics, contained in its Hilbert space description, is discussed. Gauge covariant non-local observables…

Quantum Physics · Physics 2009-11-07 Jeeva Anandan

In an attempt to find a quasi-local measure of quantum entanglement, we introduce the concept of entanglement density in relativistic quantum theories. This density is defined in terms of infinitesimal variations of the region whose…

High Energy Physics - Theory · Physics 2015-05-27 Jyotirmoy Bhattacharya , Veronika E. Hubeny , Mukund Rangamani , Tadashi Takayanagi

When tetrad (metric) fields are not invertible, the standard canonical formulation of gravity cannot be adopted as it is. Here we develop a Hamiltonian theory of gravity for non-invertible tetrad. In contrast to Einstein gravity, this phase…

General Relativity and Quantum Cosmology · Physics 2023-12-13 Sandipan Sengupta

We have recently shown that the baryonic Tully-Fisher (BTF) and Faber-Jackson (BFJ) relations imply that the gravitational "constant" $G$ in the force law vary with acceleration $a$ as $1/a$. Here we derive the converse from first…

Astrophysics of Galaxies · Physics 2018-11-26 Dimitris M. Christodoulou , Demosthenes Kazanas

Recently it was shown that if the matter congruence of a general relativistic perfect fluid flow in an almost FLRW universe is shear-free, then it must be either expansion or rotation-free. Here we generalize this result for a general f(R)…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Amare Abebe , Rituparno Goswami , Peter K. S. Dunsby

It would be extremely useful to know whether a particular low energy effective theory might have come from a compactification of a higher dimensional space. Here, this problem is approached from the ground up by considering theories with…

High Energy Physics - Theory · Physics 2009-11-10 Matthew D. Schwartz

The non-linear duality relation between the gravity and dual gravity fields are found in E theory by carrying out $E_{11}$ variations of previously found duality relations. We also find the dual graviton equation of motion up to the…

High Energy Physics - Theory · Physics 2020-08-25 Alexander G. Tumanov , Peter West

The double copy connects scattering amplitudes and other objects in gauge and gravity theories. Open conceptual issues include whether non-local information in gravity theories can be generated from the double copy, and how the double copy…

High Energy Physics - Theory · Physics 2025-03-10 William T. Emond , Laura Engelbrecht , Nathan Moynihan , Chris D. White

General Relativity can be formulated in terms of a spatially Weyl invariant gauge theory called Shape Dynamics. Using this formulation, we establish a "bulk/bulk" duality between gravity and a Weyl invariant theory on spacelike Cauchy…

General Relativity and Quantum Cosmology · Physics 2013-01-23 Henrique Gomes , Sean Gryb , Tim Koslowski , Flavio Mercati

In hep-th/0506040 we discussed a classically constrained model of gravity. This theory contains known solutions of General Relativity (GR), and admits solutions that are absent in GR. Here we study cosmological implications of some of these…

High Energy Physics - Theory · Physics 2008-11-26 Gregory Gabadadze , Yanwen Shang
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