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In this manuscript we review the theoretical foundations of gravitational waves in the framework of Albert Einstein's theory of general relativity. Following Einstein's early efforts we first derive the linearised Einstein field equations…

General Relativity and Quantum Cosmology · Physics 2018-05-22 Alain Dirkes

This is a reply to W. Zawadzki's paper (arXiv: cond-mat/0701378) on non-exietence of spin transverse force for a relativistic electron. The force was first proposed by the present author that the spin current will experience a transverse…

Materials Science · Physics 2007-10-27 Shun-Qing Shen

In this paper we study cosmological perturbations in teleparallel gravity. We discuss problems which appear in standard approach to $f(T)$ gravity, and find that these problems may be solved within covariant formulation of teleparallel…

General Relativity and Quantum Cosmology · Physics 2020-09-02 A. Toporensky , P. Tretyakov

This is a comment on articles Phys. Rev. Lett. 119, 240401 (2017) [arXiv:1707.06050] and Phys. Rev. Lett. 119, 240402 (2017) [arXiv:1707.06036]. We argue that gravity-induced entanglement by Newtonian forces is agnostic to the quantum or…

Quantum Physics · Physics 2019-01-11 C. Anastopoulos , Bei-Lok Hu

E. M. Chudnovsky has recently posted on the ArXive his Reply (arXiv:0805.2918) to my Comment (Phys. Rev. Lett. 100, 199703 (2008)) on his recent Letter (E. M. Chudnovsky, Phys. Rev. Lett. 99, 206601 (2007)). In order to avoid possible…

Materials Science · Physics 2008-05-27 V. Ya. Kravchenko

A connection-independent formulation of general relativity is presented, in which the dynamics does not depend on the choice of connection. The gravity action in this formulation includes one additional scalar term in addition to the…

General Relativity and Quantum Cosmology · Physics 2021-05-20 Junpei Harada

It is found that the extra quantum constraints to the spinor components of the equal-time Wigner function given in a recent paper by Zhuang and Heinz should vanish identically. We point out here the origin of the error and give an…

High Energy Physics - Phenomenology · Physics 2009-10-09 Abdellatif Abada , Michael C. Birse , Pengfei Zhuang , Ulrich Heinz

The purpose of this article is to draw attention to some fundamental issues in General Relativity. It is argued that these deep issues cannot be resolved within the standard approach to general relativity that considers {\em every} solution…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sanjay M. Wagh

In this article, I present an elementary introduction to the theory of gravitational waves. This article is meant for students who have had an exposure to general relativity, but, results from general relativity used in the main discussion…

Physics Education · Physics 2007-05-23 Indrajit Chakrabarty

In a previous paper [quant-ph/0207017] I gave an elementary proof, starting from stated assumptions of nonrelativistic quantum mechanics, that identical spin-zero particles must be bosons. Since then it has been suggested that my proof…

Quantum Physics · Physics 2007-05-23 Murray Peshkin

I note that the explanation of a recently posted paper by Lambiase et al. [arXiv:0811.2302] for the oscillations in the electron capture decay rate, reported by Litvinov et al.[arXiv:0801.2079], requires the cancellation of a difference by…

Nuclear Theory · Physics 2009-07-10 Thomas Faestermann

We continue here the exam \cite{LuMa} of a theory of gravity that satisfies the Einstein Equivalence Principle (EEP) for any kind of matter/energy, except for the gravitational energy. This is part of a research program that intends to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Novello , L. R. Freitas , V. A. De Lorenci

Using the complete Dirac Hamiltonian for a relativistic electron it is shown that the spin transverse force derived by S.Q. Shen, Phys. Rev. Lett. 95, 187203 (2005) does not exist. This force is an artefact resulting from an approximate…

Materials Science · Physics 2007-05-23 Wlodek Zawadzki

The negative correlation energy per particle of a uniform electron gas of density parameter $r_s$ and spin polarization $\zeta$ is well known, but its spin resolution into up-down, up-up, and down-down contributions is not. Widely-used…

Condensed Matter · Physics 2009-11-10 Paola Gori-Giorgi , John P. Perdew

A simple modification to Einstein's theory of gravity in terms of a non-Riemannian connection is examined. A new tensor-variational approach yields field equations that possess a covariance similar to the gauge covariance of…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Robin W Tucker , Charles Wang

The gravitational wave solutions obtained from a perturbation about conformally flat backgrounds in Einstein gravity are investigated. A perturbation theory analysis of the Lesame, Ellis and Dunsby results, based on a covariant approach,…

Astrophysics · Physics 2008-02-03 J. W. Moffat

We present a basics of the Einstein General Theory of Relativity. In the first part of this review we derive relations of Riemann geometry which are used in the General Relativity. In the second part we discuss Einstein Equations and some…

General Relativity and Quantum Cosmology · Physics 2020-10-23 S. M. Bilenky

The Palatini formulation is used to develop a genuine connection theory for general relativity, in which the gravitational field is represented by a Lorentz-valued spin connection. The existence of a tetrad field, given by the Fock-Ivanenko…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Aldrovandi , H. I. Arcos , J. G. Pereira

We provide comments on the article by Shannon et al. (Sep 2015) entitled "Gravitational waves from binary supermassive black holes missing in pulsar observations". The purpose of this letter is to address several misconceptions of the…

Instrumentation and Methods for Astrophysics · Physics 2016-02-23 The NANOGrav Collaboration

Withdrawn due to the existence of the main result in Phys.Rev. D69 (2004) 105010, hep-th/0312266 (based on earlier results in JHEP 0304 (2003) 039, hep-th/0212008).

High Energy Physics - Theory · Physics 2007-05-23 Paul de Medeiros