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This paper is devoted to introduce a gauge theory of the Lorentz Group based on the analysis of isometric diffeomorphism-induced Lorentz transformations. The behaviors under local transformations of fermion fields and spin connections…

General Relativity and Quantum Cosmology · Physics 2015-12-31 Nakia Carlevaro , Giovanni Montani

The expression of the gravitational energy-momentum defined in the context of the teleparallel equivalent of general relativity is extended to an arbitrary set of real-valued tetrad fields, by adding a suitable reference space subtraction…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. W. Maluf , M. V. O. Veiga , J. F. da Rocha-Neto

Duality is one of the oldest known symmetries of Maxwell equations. In recent years the significance of duality symmetry has been recognized in superstrings and high energy physics and there has been a renewed interest on the question of…

General Physics · Physics 2012-06-19 S. C. Tiwari

Let (M,g) be a compact oriented Einstein 4-manifold. Write R-plus for the part of the curvature operator of g which acts on self-dual 2-forms. We prove that if R-plus is negative definite then g is locally rigid: any other Einstein metric…

Differential Geometry · Mathematics 2020-10-16 Joel Fine , Kirill Krasnov , Michael Singer

We study the physical consequences of two diffferent but closely related perturbation schemes applied to the Einstein-Maxwell equations. In one case the starting space-time is flat while in the other case it is Schwarzschild. In both cases…

General Relativity and Quantum Cosmology · Physics 2009-02-09 T. M. Adamo , E. T. Newman

We modify the Einstein-Schrodinger theory to include a cosmological constant $\Lambda_z$ which multiplies the symmetric metric, and we show how the theory can be easily coupled to additional fields. The cosmological constant $\Lambda_z$ is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. A. Shifflett

We show that local Lorentz covariance arises canonically as the group of transformations between local thermal states in the framework of Local Quantum Physics, given the following three postulates: (i) Local observable algebras are…

General Relativity and Quantum Cosmology · Physics 2017-12-07 Matti Raasakka

Principle of Equivalence makes effects of classical gravity vanish in local inertial frames. What role does the Principle of Equivalence play as regards quantum gravitational effects in the local inertial frames? I address this question…

General Relativity and Quantum Cosmology · Physics 2020-10-01 T. Padmanabhan

The main purpose of this contribution is to determine physical and geometrical characterizations of whole classes of stationary cyclic symmetric gravitational fields coupled to Maxwell electromagnetic fields within the $(2+1)$-dimensional…

General Relativity and Quantum Cosmology · Physics 2013-07-26 Alberto A. Garcia-Diaz

The scalar-tensor theory is plagued by nagging questions if different conformal frames, in particular the Jordan and Einstein conformal frames, are equivalent to each other. As a closely related question, there are opposing views on which…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yasunori Fujii

Linearized general relativity admits a formulation in terms of gravitoelectric and gravitomagnetic fields that closely parallels the description of the electromagnetic field by Maxwell's equations. For steady mass currents, this formalism…

General Relativity and Quantum Cosmology · Physics 2010-07-01 John Swain

Frame dragging (Lense-Thirring effect) is generally associated with rotating astrophysical objects. However, it can also be generated by electromagnetic fields if electric and magnetic fields are simultaneously present. In most models of…

General Relativity and Quantum Cosmology · Physics 2015-07-28 Andrés F. Gutiérrez Ruiz , Leonardo A. Pachón

In curved spacetime, Maxwell's equations can be expressed in forms valid in Minkowski background, with the effect of the metric (gravity) appearing as effective polarizations and magnetizations. The electric and magnetic (EM) fields depend…

General Relativity and Quantum Cosmology · Physics 2023-12-25 Jai-chan Hwang , Hyerim Noh

The question of the existence of gravitational stress-energy in general relativity has exercised investigators in the field since the inception of the theory. Folklore has it that no adequate definition of a localized gravitational…

History and Philosophy of Physics · Physics 2019-11-26 Erik Curiel

For vacuum Maxwell theory in four dimensions, a supplementary condition exists (due to Eastwood and Singer) which is invariant under conformal rescalings of the metric, in agreement with the conformal symmetry of the Maxwell equations.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Giampiero Esposito , Cosimo Stornaiolo

We study physical consequences of the Einstein equivalence principle (EEP) for a Hubble observer in FLRW universe. We introduce the local inertial coordinates with the help of a special conformal transformation. The local inertial metric is…

General Relativity and Quantum Cosmology · Physics 2014-02-19 Sergei M. Kopeikin

The question of the uniqueness of energy-momentum tensors in the linearized general relativity and in the linear massive gravity is analyzed without using variational techniques. We start from a natural ansatz for the form of the tensor…

General Relativity and Quantum Cosmology · Physics 2016-02-16 Jiří Bičák , Josef Schmidt

We consider cosmological topologically massive gravity at the chiral point with positive sign of the Einstein-Hilbert term. We demonstrate the presence of a negative energy bulk mode that grows linearly in time. Unless there are physical…

High Energy Physics - Theory · Physics 2010-05-12 Daniel Grumiller , Niklas Johansson

Some mathematical aspects of using the translation group as an internal symmetry group in a gauge field theory are presented and discussed. The traditional manner in which gravitation can be accounted for by the introduction of a global…

General Relativity and Quantum Cosmology · Physics 2007-05-23 David Delphenich

The structure of classical electrodynamics based on the variational principle together with causality and space-time homogeneity is analyzed. It is proved that in this case the 4-potentials are defined uniquely. On the other hand, the…

General Physics · Physics 2007-05-23 E. Comay
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