Relativity and c/sqrt{3}
General Relativity and Quantum Cosmology
2007-05-23 v2 Astrophysics
Classical Physics
Abstract
We define the critical coordinate velocity v_c. A particle moving radially in Schwarzschild background with this velocity, v_c= c/sqrt 3, is neither accelerated, nor decelerated if gravitational field is weak, r_g << r, where r_g is the gravitational radius, while r is the current one. We find that the numerical coincidence of v_c with velocity of sound in ultrarelativistic plasma, u_s, is accidental, since two velocities are different if the number of spatial dimensions is not equal to 3
Keywords
Cite
@article{arxiv.gr-qc/0111103,
title = {Relativity and c/sqrt{3}},
author = {S. I. Blinnikov and L. B. Okun and M. I. Vysotsky},
journal= {arXiv preprint arXiv:gr-qc/0111103},
year = {2007}
}
Comments
6 pages; PS with an essential reference added. Contribution to Holger Nielsen festschrift