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This paper generalizes earlier work on Hamiltonian boundary terms by omitting the requirement that the spacelike hypersurfaces $\Sigma_t$ intersect the timelike boundary $\cal B$ orthogonally. The expressions for the action and Hamiltonian…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. W. Hawking , C. J. Hunter

Gravity is one of the fundamental forces of Nature, and it is the dominant force in most astronomical systems. In common with all other phenomena, gravity must obey the principles of special relativity. In particular, gravitational forces…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Bernard F Schutz

This thesis is devoted to the study of gravitational theories which can be seen as modifications or generalisations of General Relativity. The motivation for considering such theories, stemming from Cosmology, High Energy Physics and…

General Relativity and Quantum Cosmology · Physics 2011-11-10 Thomas P. Sotiriou

It is univocally anticipated that in a theory of quantum gravity, there exist quantum superpositions of semiclassical states of spacetime geometry. Such states could arise for example, from a source mass in a superposition of spatial…

General Relativity and Quantum Cosmology · Physics 2025-01-20 Joshua Foo , Robert B. Mann , Magdalena Zych

In this work, the experiment is discussed on the verification of the principle of universality of gravitational interactions and some related problems of gravity theory and physics of elementary particles. The meaning of this proposal lies…

General Relativity and Quantum Cosmology · Physics 2007-05-23 I. B. Pestov

The effective field theory of quantum gravity generically predicts non-locality to be present in the effective action, which results from the low-energy propagation of gravitons and massless matter. Working to second order in gravitational…

High Energy Physics - Theory · Physics 2018-10-17 Xavier Calmet , Basem Kamal El-Menoufi , Boris Latosh , Sonali Mohapatra

The vacuum action for the gravitational field admits a known expansion in powers of the Ricci tensor with nonlocal operator coefficients (form factors). We show that going over to a different basis of curvature invariants makes possible a…

High Energy Physics - Theory · Physics 2009-10-28 A. G. Mirzabekian , G. A. Vilkovisky , V. V. Zhytnikov

We investigate gravitational radiation in dynamical noncommutative spaces. By including corrections to the gravitational potential due to dynamical noncommutativity, we calculate the power in gravitational radiation and use observational…

High Energy Physics - Theory · Physics 2016-12-13 S. A. Alavi , M. Amiri Nasab

An analysis of composite inertial motion (relativistic sum) within the framework of special relativity leads to the conclusion that every translational motion must be the symmetrically composite relativistic sum of a finite number of quanta…

General Physics · Physics 2007-05-23 Ernst Karl Kunst

Our conventional system of physical units is based on local or microscopic {\it dimensional} quantities which are {\it defined}, for convenience or otherwise aesthetic reasons, to be spacetime-independent. A more general choice of units may…

General Physics · Physics 2013-08-06 Meir Shimon

Quantum gravity, as a fundamental theory of space-time, is expected to reveal how the universe may have started, perhaps during or before an inflationary epoch. It may then leave a potentially observable (but probably minuscule) trace in…

General Relativity and Quantum Cosmology · Physics 2015-12-17 Martin Bojowald

Various approaches by the author and collaborators to define gravitational fluctuations associated with a noncommutative space are reviewed.

High Energy Physics - Theory · Physics 2009-11-10 Ali H. Chamseddine

The field equations of a generalized $f(R)$ type gravity model, in which there is an arbitrary coupling between matter and geometry, are obtained. The equations of motion for test particles are derived from a variational principle in the…

General Relativity and Quantum Cosmology · Physics 2009-05-26 T. Harko

It is widely accepted that the fundamental geometrical law of nature should follow from an action principle. The particular subset of transformations of a system's dynamical variables that maintain the form of the action principle comprises…

General Relativity and Quantum Cosmology · Physics 2015-04-24 Jürgen Struckmeier

We study a gravitational action which is a linear combination of the Hilbert-Palatini term and a term quadratic in torsion and possessing local Poincare invariance. Although this action yields the same equations of motion as General…

General Relativity and Quantum Cosmology · Physics 2012-04-04 Jian Yang , Kinjal Banerjee , Yongge Ma

In recent years Quantum Superstrings and Quantum Gravity approaches have come to rely on non differenciable spacetime manifolds. These throw up a noncommutative spacetime geometry and we consider the origin of mass and a related…

General Physics · Physics 2007-05-23 B. G. Sidharth

We define a theory of noncommutative general relativity for canonical noncommutative spaces. We find a subclass of general coordinate transformations acting on canonical noncommutative spacetimes to be volume-preserving transformations.…

High Energy Physics - Theory · Physics 2008-11-26 Xavier Calmet , Archil Kobakhidze

We quickly review the current status of gravitational duality in General Relativity. We summarize and comment some recent work on constructing dual (topological) charges and understanding how this duality acts in supergravity theories.

High Energy Physics - Theory · Physics 2011-07-26 François Dehouck

We use effective field theory tools to study non-conservative effects in systems of gravitating objects in general spacetime dimension. Using the classical version of the Closed Time Path formalism, we treat both the radiative gravitational…

General Relativity and Quantum Cosmology · Physics 2015-07-01 Ofek Birnholtz , Shahar Hadar

The interaction of (linearized) gravitation with matter is studied in the causal approach up to the second order of perturbation theory. We consider the generic case and prove that gravitation is universal in the sense that the existence of…

High Energy Physics - Theory · Physics 2011-01-27 D. R. Grigore