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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: In this article, Amelino-Camelia and Smolin and Magueijo proposed doubly special Relativity theories (DSR1 and DSR2), which differ from Lorentz invariance.
Abstract: GeV) shouldherald departures from Lorentz invariance, and the possibility of testing these expectations in thenot too distant future, two so-called “Doubly Special Relativity” theories have been suggested —the first by Amelino-Camelia (DSR1) and the second by Smolin and Magueijo (DSR2). Thesetheories contain two fundamental scales — the speed of light and an energy usually taken to beE
108 citations
TL;DR: In this paper, the USAA generally covariant extension of general relativity (GR) in which a dynamical unit timelike vec-tor is coupled to the metric is studied in the asymptotic weak limit of spherically symmetric solutions.
Abstract: Department of Physics, University of MarylandCollege Park, MD 20742-4111 USAA generally covariant extension of general relativity (GR) in which a dynamical unit timelike vec-tor field is coupled to the metric is studied in the asymptotic weak field limit of spherically symmetricstatic solutions. The two post-Newtonian parameters known as the Eddington-Robertson-Schiff pa-rameters are found to be identical to those in the case of pure GR, except for some non-genericvalues of the coefficients in the Lagrangian.I. INTRODUCTION
108 citations
TL;DR: In this article, a class of nonlocal, but causal, covariant and conserved field equations for the metric was studied, and it was shown that these equations do not seem to possess extra graviton solutions in weak field perturbation theory.
Abstract: We study a class of nonlocal, but causal, covariant and conserved field equations for the metric. Although nonlocal, these equations do not seem to possess extra graviton solutions in weak field perturbation theory. Indeed, the equations reduce to those of general relativity when the Ricci scalar vanishes throughout spacetime. When a static matter source is present, we show how these equations can be adjusted to reproduce Milgrom's modified Newtonian dynamics in the weak field regime, while reducing to general relativity for strong fields. We compute the angular deflection of light in the weak field regime and demonstrate that it is the same as for general relativity, resulting in far too little lensing if no dark matter is present. We also study the field equations for a general Robertson–Walker geometry. An interesting feature of our equations is that they become conformally invariant in the MOND limit.
107 citations
01 Jan 2008
TL;DR: In this paper, a set of lectures for the Current Developments in Mathematics conference, Harvard, November 22, 2008, are described, along with a discussion of the current state of mathematics.
Abstract: These notes accompany a set of lectures for the Current Developments in Mathematics conference, Harvard, November 22, 2008.
107 citations
TL;DR: In this paper, the authors argue that Lorentzian relativity better describes nature than special relativity, and that the link between relativity and the causality principle involves issues of the meaning of gravitational waves and curved space-time analogies.
107 citations