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Four-force
About: Four-force is a research topic. Over the lifetime, 3459 publications have been published within this topic receiving 87308 citations.
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TL;DR: Transversality theory is used to study the curvature of generic space-times in general relativity and some applications to unique determination of the metric by the curvatures are given in this article.
Abstract: Transversality theory is used to study the curvature of generic space‐times in general relativity and some applications to unique determination of the metric by the curvature are given.
25 citations
TL;DR: In this article, Carmona, Cortes, and Mercati extended the study of special relativity parametrized by a high-energy scale to second order, and obtained the coefficients of modified composition laws and Lorentz transformations at second order.
Abstract: The study of generic, nonlinear, deformations of special relativity parametrized by a high-energy scale $M$, which was carried out at first order in $1/M$ in J. M. Carmona, J. L. Cort\'es, and F. Mercati, Phys. Rev. D 86, 084032 (2012), is extended to second order. This can be done systematically through a (``generalized'') change of variables from momentum variables that transform linearly. We discuss the different perspectives on the meaning of the change of variables, obtain the coefficients of modified composition laws and Lorentz transformations at second order, and work out how $\ensuremath{\kappa}$-Poincar\'e, the most commonly used example in the literature, is reproduced as a particular case of the generic framework exposed here.
25 citations
25 citations
01 Jan 1962
TL;DR: In this paper, Moller's theory on the concept of energy and its localization in general relativity is applied to calculate the energy of the interior and exterior Schwarzschild fields, and it is found that the energy is equal to the (Newtonian) gravitational mass of the material system associated with the fields.
Abstract: Moller's theory on the concept of energy and its localization in general relativity is applied to calculate the energy of the interior and exterior Schwarzschild fields. It is found that the energy is equal to the (Newtonian) gravitational mass of the material system associated with the fields and that all the energy resides wholly in the material system.
25 citations
Book•
01 Jan 2006
TL;DR: The Chrono-Geometrical Structure of Special and General Relativity: Towards a Background-Independent Description of the Gravitational Field and Elementary Particles Leibniz-Mach Foundations for GR and Fundamental Physics as mentioned in this paper.
Abstract: CONTENTS: Preface The Chrono-Geometrical Structure of Special and General Relativity: Towards a Background-Independent Description of the Gravitational Field and Elementary Particles Leibniz-Mach Foundations for GR and Fundamental Physics Kinematic Self-Similar Solutions in General Relativity The Dynamic Space of General Relativity in Second Atomisation Reinstating Schwarzschilds Original Manifold and its Singularity Index
24 citations