Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2000-11-27
Mod.Phys.Lett.A15:2219-2228,2000
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
6 pages revtex, 1 eps figure. To be published in Modern Physics Letters A
Scientific paper
10.1142/S0217732300002516
Using traversable wormholes as theoretical background, we revisit a deep question of general relativity: Does a uniformly accelerated charged particle radiate? We particularize to the recently proposed gravitational \v{C}erenkov radiation, that happens when the spatial part of the Ricci tensor is negative. If $^{^{(3+1)}}R^i_{\phantom{i}i}< 0$, the matter threading the gravitational field violates the weak energy condition. In this case, the effective refractive index for light is bigger than 1, i.e. particles propagates, in that medium, faster than photons. This leads to a violation of the equivalence principle.
Anchordoqui Luis A.
Capozziello Salvatore
Lambiase Gaetano
Torres Diego F.
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