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In a space-time with torsion, the action for the gravitational field can be extended with a parity-violating piece. We show how to obtain such a piece from geometry itself, by suitably modifying the affine connection so as to include a…

High Energy Physics - Theory · Physics 2011-08-17 Biswarup Mukhopadhyaya , Soumitra Sengupta

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…

High Energy Physics - Theory · Physics 2023-12-22 Jean-Luc Lehners , K. S. Stelle

In this work, we study the magnetic effects of gravity in the framework of special relativity. Imposing covariance of the gravitational force with respect to the Lorentz transformations, we show from a thought experiment that a…

General Physics · Physics 2018-05-01 R. S. Vieira , H. B. Brentan

Motivated by quantum-mechanical considerations we earlier suggested an alternative action for discretised quantum gravity which measures the perimeter of the space-time and has a dimension of length. It is the so called perimeter action,…

High Energy Physics - Theory · Physics 2018-02-28 George Savvidy

The quantization of time-reparametrization invariant systems such as general relativity is plagued by an ambiguity relating to the role of time in the theory. If one parametrizes observables by the (unobservable) time, and then relies on…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Steven Weinstein

It is common knowledge that the Einstein-Hilbert action does not furnish a well-posed variational principle. The usual solution to this problem is to add an extra boundary term to the action, called a counter-term, so that the variational…

General Relativity and Quantum Cosmology · Physics 2016-07-15 Krishnamohan Parattu , Sumanta Chakraborty , T. Padmanabhan

A gravitational theory with derivative matter coupling is proposed which adopt de Sitter expansion at late times with ordinary baryonic matter. Matter components are conserved separately in the cosmological background and the Newtonian…

General Relativity and Quantum Cosmology · Physics 2021-04-19 Zahra Haghani , Shahab Shahidi

Recently, several interesting proposals were made modifying the law of gravity on large scales, within a sensible relativistic formulation. This allows a precise formulation of the idea that such a modification might account for galaxy…

High Energy Physics - Phenomenology · Physics 2010-04-06 A. Aguirre , C. P. Burgess , A. Friedland , D. Nolte

It is argued that, unlike for other fields, the quasilocal parts of the gravitational field are always bounded by surfaces of extremal area.

High Energy Physics - Theory · Physics 2019-05-27 Joan Camps

The incorporation of an adequate discrete expansion to the formalism of the special relativity that does not allow gravitational acceleration unravels unexplored phenomena. This extension takes into account consequences of a small variation…

General Physics · Physics 2022-08-30 Faycal Ben Adda

Constructive gravity allows to calculate the Lagrangian for gravity, provided one previously prescribes the Lagrangian for all matter fields on a spacetime geometry of choice. We explain the physical and mathematical foundation of this…

General Relativity and Quantum Cosmology · Physics 2020-03-24 Frederic P. Schuller

We generalize the local surface counterterm prescription suggested in Einstein gravity for higher derivative (HD) and Weyl gravities. Explicitly, the surface counterterm is found for three- and five-dimensional HD gravities. As a result,…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

The main principle of affine quantum gravity is the strict positivity of the matrix \{\hat g_{ab}(x)\} composed of the spatial components of the local metric operator. Canonical commutation relations are incompatible with this principle,…

General Relativity and Quantum Cosmology · Physics 2010-03-15 John R. Klauder

The conformal transformation in the Einstein - Hilbert action leads to a new frame where an extra scalar degree of freedom is compensated by the local conformal-like symmetry. We write down a most general action resulting from such…

High Energy Physics - Theory · Physics 2010-11-01 Ilya L. Shapiro , Hiroyuki Takata

We will highlight that despite there being various approaches to quantum gravity, there are universal approach-independent features of quantum gravity. The geometry of spacetime becomes an emergent structure, which emerges from some purely…

General Relativity and Quantum Cosmology · Physics 2024-04-04 Mir Faizal

We study several properties of expansive group actions on metric spaces and obtain relation between expansivity for subgroup and group actions. Through counter examples necessity of hypothesis are justified. We also study expansivity of…

Dynamical Systems · Mathematics 2018-08-01 Ali Barzanouni , Mahin Sadat Divandar , Ekta Shah

Recently, interest has increased in the entanglement of remote quantum particles through the Newtonian gravitational interaction, both from a fundamental perspective and as a test case for the quantization of gravity. Likewise,…

General Relativity and Quantum Cosmology · Physics 2022-12-29 André Großardt

Although it's widely believed that gravity should have a quantum nature like every other force, the conceptual obstacles to constructing a quantum theory of gravity compel us to explore other perspectives. Gravity is not like any other…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Jonathan Oppenheim

The effect of modifying General Relativity with the addition of some higher dimensional operators, generalizations of the Goroff-Sagnotti operator, is discussed. We determine in particular, the general solution of the classical equations of…

General Relativity and Quantum Cosmology · Physics 2023-01-27 Enrique Álvarez , Jesus Anero , Eduardo Velasco-Aja

We introduce a protocol for a quantum switch in the gravitational field of a spherical mass and determine the time interval required for its realization in the gravity of Earth. One of the agents that perform operations with indefinite…

Quantum Physics · Physics 2021-10-19 Natália S. Móller , Bruna Sahdo , Nelson Yokomizo