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Radiation from a uniformly accelerated charge in the outskirts of a wormhole throat

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arxiv gr-qc/0011097 v1 pith:DT7ZC72R submitted 2000-11-27 gr-qc

Radiation from a uniformly accelerated charge in the outskirts of a wormhole throat

classification gr-qc
keywords acceleratedgravitationalradiationuniformlybackgroundbiggercasecharge
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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