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Teleparallel gravity and its popular generalization $f(T)$ gravity can be formulated as fully invariant (under both coordinate transformations and local Lorentz transformations) theories of gravity. Several misconceptions about teleparallel…

General Relativity and Quantum Cosmology · Physics 2019-09-25 M. Krssak , R. J. van den Hoogen , J. G. Pereira , C. G. Boehmer , A. A. Coley

We utilize generalized unitarity and recursion relations combined with effective field theory(EFT) techniques to compute spin dependent interaction terms for inspiralling binary systems in the post newtonian(PN) approximation. Using these…

High Energy Physics - Theory · Physics 2015-06-23 Varun Vaidya

This work generalizes the treatment of flat spin connections in the teleparallel equivalent of general relativity. It is shown that a general flat spin connection form a subspace in the affine space of spin connections which is dynamically…

General Relativity and Quantum Cosmology · Physics 2017-11-07 A. Zubiaga

We establish a connection between the general equations of nonlinear elastodynamics and the nonlinear ordinary differential equation of Pinney [Proc. Amer. Math. Soc. 1 (1950) 681]. As a starting point, we use the exact travelling wave…

Soft Condensed Matter · Physics 2013-02-08 Michel Destrade , Giuseppe Saccomandi

This is an English translation of the paper M.B.Mensky, in: K.P.Stanyukovich (ed.), "Problems of Theory of Gravity and Elementary Particles", issue 6, Moscow, Atomizdat, 1975, p.181-190 (in Russian). This paper elaborates further the idea…

General Relativity and Quantum Cosmology · Physics 2007-12-24 Michael B. Mensky

Given the recent direct measurement of gravitational waves (GWs) by the LIGO-VIRGO collab- oration, the coupling between electromagnetic fields and gravity have a special relevance since it opens new perspectives for future GW detectors and…

General Relativity and Quantum Cosmology · Physics 2017-04-18 Francisco Cabral , Francisco S. N. Lobo

In this paper, we give a rigorous derivation of Einstein's geodesic hypothesis in general relativity. We use scaling stable solitons for nonlinear wave equations to approximate the test particle. Given a vacuum spacetime $([0,…

Analysis of PDEs · Mathematics 2015-08-20 Shiwu Yang

This paper deals with an extension of a previous work [Gravitation & Cosmology, Vol. 4, 1998, pp 107--113] to exact spherical symmetric solutions to the spinor field equations with nonlinear terms which are arbitrary functions of…

Mathematical Physics · Physics 2015-06-12 V. Adanhounme , A. Adomou , F. P. Codo , M. N. Hounkonnou

Starting from a 5D-Riemannian manifold, we show that a reduction mechanism to 4D-spacetimes reproduces Extended Theories of Gravity (ETGs) that are direct generalizations of Einstein's gravity. In this context, the gravitational degrees of…

General Relativity and Quantum Cosmology · Physics 2015-03-26 Salvatore Capozziello , Mariafelicia De Laurentis , Luca Fabbri , Stefano Vignolo

We discuss quantum graphs consisting of a compact part and semiinfinite leads. Such a system may have embedded eigenvalues if some edge lengths in the compact part are rationally related. If such a relation is perturbed these eigenvalues…

Mathematical Physics · Physics 2019-12-10 Pavel Exner , Jiri Lipovsky

Even if Einstein's General Relativity achieved a great success and overcame lots of experimental tests, it also showed some shortcomings and flaws which today advise theorists to ask if it is the definitive theory of gravity. In this letter…

General Relativity and Quantum Cosmology · Physics 2009-02-16 Christian Corda

A theory of spin relaxation in graphene including intrinsic, Bychkov-Rashba, and ripple spin-orbit coupling is presented. We find from spin relaxation data by Tombros et al. [Nature 448, 571 (2007).] that intrinsic spin-orbit coupling…

Strongly Correlated Electrons · Physics 2015-03-13 F. Simon , F. Muranyi , B. Dora

In our comment we show that the application of appropriate statistical methods to the results of the author proves that the author in his article has not been able to reach his goal.

Classical Physics · Physics 2007-05-23 R. I. Tzontchev , A. E. Chubykalo

General Relativity theory is reviewed following the vierbein field theory approach proposed in 1928 by Einstein. It is based on the vierbein field taken as the "square root" of the metric tensor field. Einstein's vierbein theory is a gauge…

General Relativity and Quantum Cosmology · Physics 2011-06-13 Jeffrey Yepez

We investigate a possible unified theory of all interactions which is based only on fundamental spinor fields. The vielbein and metric arise as composite objects. The effective quantum gravitational theory can lead to a modification of…

High Energy Physics - Theory · Physics 2009-11-10 C. Wetterich

The vibrating string is a source of gravitational waves which requires novel computational techniques, based on the explicit construction of a conserved and renormalized (in a classical sense) energy-momentum tensor. The renormalization is…

General Physics · Physics 2018-12-26 R. A. Lewis , G. Modanese

We identify universal spatial fluctuations in systems with non trivial spin dynamics. To this end we calculate by exact numerical diagonalization a variety of experimentally relevant correlations between spinor amplitudes, spin…

Mesoscale and Nanoscale Physics · Physics 2013-05-15 Juan Diego Urbina , Michael Wimmer , Dominik Bauernfeind , Diego Espitia , Inanc Adagideli , Klaus Richter

In the light of intriguing results of C.C.Barros, we investigate in this thesis the possibilities of geometrical interpretation of all the fundamental interactions in order to unify them. More exactly we try to supply a unified geometrical…

General Relativity and Quantum Cosmology · Physics 2014-03-20 Abdelmoumene Belabbas

The behaviour of a "test" electromagnetic field in the background of an exact gravitational plane wave is investigated in the framework of Einstein's general relativity. We have expressed the general solution to the de Rham equations as a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Enrico Montanari , Mirco Calura

The analysis of a general multibody physical system governed by Einstein's equations in quite difficult, even if numerical methods (on a computer) are used. Some of the difficulties -- many coupled degrees of freedom, dynamic instability --…

General Relativity and Quantum Cosmology · Physics 2008-11-26 James A. Isenberg
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