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We prove that Riemannian metrics in General Relativity in the \emph{`normal-coordinates'} gauge are in one-to-one correspondence with curvature 2-forms. We discuss how this can be used as a change of variables in the operator formalism to…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Praveen Dennis Xavier

Symmetries of generalized gravitational actions, yielding field equations which typically involve at most second-order derivatives of the metric, are considered. The field equations for several different higher-derivative theories in the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Simon Davis

We apply the modified triplectic formalism for quantizing several popular gauge models - non-abelian antisymmetric tensor field model, W2-gravity and two-dimensional gravity with dynamical torsion. The explicit solutions are obtained for…

High Energy Physics - Theory · Physics 2009-10-31 Bodo Geyer , Petr M. Lavrov , Pavel Yu. Moshin

The dynamics of the large-scale structure of the universe enjoys at all scales, even in the highly non-linear regime, a Lifshitz symmetry during the matter-dominated period. In this paper we propose a general class of six-dimensional…

High Energy Physics - Theory · Physics 2016-12-21 A. Kehagias , A. Riotto , M. S. Sloth

We provide a BRST symmetric version of Yokoyama's Type I gaugeon formalism for quantum electrodynamics; the similar theory by Izawa can be considered as a BRST symmetrized Type II theory. With the help of the BRST symmetry, Yokoyama's…

High Energy Physics - Theory · Physics 2011-04-15 M. Koseki , M. Sato , R. Endo

We extend the notion of self-duality to spaces built from a set of representations of the Lorentz group with bosonic or fermionic behaviour, not having the traditional spin-one upper-bound of super Minkowski space. The generalized…

High Energy Physics - Theory · Physics 2009-10-30 C. Devchand , J. Nuyts

Two-dimensional supergravity theory is quantized as an anomalous gauge theory. In the Batalin-Fradkin (BF) formalism, the anomaly-canceling super-Liouville fields are introduced to identify the original second-class constrained system with…

High Energy Physics - Theory · Physics 2016-09-06 T. Fujiwara , Y. Igarashi , R. Kuriki , T. Tabei

A argument is described for how deformed or doubly special relativity may arise in the semiclassical limit of a quantum theory of gravity. We consider a generic quantum theory of gravity coupled to matter, from which we use only the…

High Energy Physics - Theory · Physics 2008-08-28 Lee Smolin

We construct a topological field theory which, on the one hand, generalizes BF theories in that there is non-trivial coupling to `topological matter fields'; and, on the other, generalizes the three-dimensional model of Carlip and Gegenberg…

High Energy Physics - Theory · Physics 2009-10-31 J. Gegenberg , R. B. Mann

By resolving the Riemann curvature relative to a unit timelike vector into electric and magnetic parts, we consider duality relations analogous to the electromagnetic theory. It turns out that the duality symmetry of the Einstein action…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Naresh Dadhich

We discuss some classical and quantum properties of 2d gravity models involving metric and a scalar field. Different models are parametrized in terms of a scalar potential. We show that a general Liouville-type model with exponential…

High Energy Physics - Theory · Physics 2009-09-17 J. Russo , A. A. Tseytlin

In the context of field theory two elements seem to be necessary to search for strong-weak coupling duality. First, a gauge theory formulation and second, supersymmetry. For gravitation these two elements are present in MacDowell-Mansouri…

High Energy Physics - Theory · Physics 2009-10-31 H. Garcia-Compean , A. Nieto , O. Obregon , C. Ramirez

We consider the effects of higher curvature terms on a holographic dual description of boundary conformal field theory. Specifically, we consider three-dimensional gravity with a specific combination of Ricci tensor square and curvature…

High Energy Physics - Theory · Physics 2015-06-03 Yongjoon Kwon , Soonkeon Nam , Jong-Dae Park , Sang-Heon Yi

In brane world scenarios with a bulk scalar field between two branes it is known that 4-dimensional Einstein gravity is restored at low energies on either brane. By using a gauge-invariant gravitational and scalar perturbation formalism we…

High Energy Physics - Theory · Physics 2009-11-07 Shinji Mukohyama

A geometric torsion (GT) underlying a $2$-form in a $(4$$+$$1)$-dimensional $U(1)$ gauge theory is revisited with a renewed perspective for a non-perturbation (NP) gravity in $d$$=$$4$. In the context we provide evidences to a holographic…

High Energy Physics - Theory · Physics 2020-04-22 Rohit K. Gupta , Supriya Kar , R. Nitish

This thesis focuses on the application of numerical relativity methods to the solutions of problems in strong gravity. Our goal is the study of mergers of compact objects in the strong field regime where non-linear dynamics manifest and…

General Relativity and Quantum Cosmology · Physics 2024-08-02 Llibert Aresté Saló

We discuss possible variations of the effective gravitational constant with length scale, predicted by most of alternative theories of gravity and unified models of physical interactions. After a brief general exposition, we review in more…

General Relativity and Quantum Cosmology · Physics 2009-11-11 K. A. Bronnikov , S. A. Kononogov , V. N. Melnikov

We discuss field theories appearing as a result of applying field transformations with derivatives (differential field transformations, DFT) to a known theory. We begin with some simple examples of DFTs to see the basic properties of the…

General Relativity and Quantum Cosmology · Physics 2020-02-06 A. A. Sheykin , D. P. Solovyev , V. V. Sukhanov , S. A. Paston

The metric-affine variational principle is applied to generate teleparallel and symmetric teleparallel theories of gravity. From the latter is discovered an exceptional class which is consistent with a vanishing affine connection. Based on…

General Relativity and Quantum Cosmology · Physics 2018-09-17 Jose Beltran Jimenez , Lavinia Heisenberg , Tomi Koivisto

Weak gravity in the brane world scenario with a scalar field in the bulk between two end-of-the-world branes is investigated by using the doubly gauge invariant formalism. We review the result that Einstein gravity is restored in the low…

High Energy Physics - Theory · Physics 2008-11-26 Shinji Mukohyama
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