2004/06/30 by Carmen Chicone, C. Chicone, Bahram Mashhoon +1 · 3 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Pulsars and Gravitational Waves Research #Relativity and Gravitational Theory #astro-ph #gr-qc
paper · pdf · doi:10.1088/0264-9381/21/24/l01
published as Class.Quant.Grav. 21 (2004) L139 · 7 pages, 1 figure, slightly expanded version accepted for publication in Class. Quantum Grav
arxiv created 2004/10/21 · openalex publication_date 2004/11/23 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
In the description of relative motion in accelerated systems and gravitational fields, inertial and tidal accelerations must be taken into account, respectively. These involve a critical speed that in the first approximation can be simply illustrated in the case of motion in one dimension. For one-dimensional motion, such first-order accelerations are multiplied by (1 − V 2 / V 2 c ), where is the critical speed. If the speed of relative motion exceeds V c , there is a sign reversal with consequences that are contrary to Newtonian expectations.