Particle Motion with Hořava -- Lifshitz type Dispersion Relations

Details Particle Motion with Hořava -- Lifshitz type Dispersion Relations Particle Motion with Hořava -- Lifshitz type Dispersion Relations

2009-10-02

arxiv.org/abs/0910.0411v2

Physics

High Energy Physics

High Energy Physics - Theory

16 pages. Version 2: A reference added

Scientific paper

Using super Hamiltonian formalism, we study the motion of particles whose dispersion relations are modified to incorporate Ho\v{r}ava -- Lifshitz type anisotropic scaling symmetry. We find the following as consequences of this modified dispersion relation: (i) The speed of a charged particle under a constant electric field grows without bound and diverges. (ii) The speed of a particle falling towards the horizon also grows without bound and diverges as the particle approaches the horizon. (iii) This particle reaches the horizon in a finite coordinate time, in contrast to the standard case where it requires infinite time.

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