Caustic avoidance in Horava-Lifshitz gravity
Jun, 200918 pages
Published in:
- JCAP 09 (2009) 005
e-Print:
- 0906.5069 [hep-th]
Report number:
- IPMU09-0081
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Abstract: (arXiv)
There are at least four versions of Horava-Lishitz gravity in the literature. We consider the version without the detailed balance condition with the projectability condition and address one aspect of the theory: avoidance of caustics for constant time hypersurfaces. We show that caustics cannot form with codimension one in the absence of matter source if lambda deviates from 1 near would-be caustics via RG flow. We argue that inclusion of matter source will not change the conclusion. We also argue that caustics with codimension higher than one will not form because of repulsive gravity generated by nonlinear higher curvature terms. Finally, we discuss implications to the recently proposed scenario of ``dark matter as integration constant''.Note:
- 17 pages
- gravitation: Horava-Lifshitz
- renormalization group: flow
- dark matter
- field equations
- Hamiltonian formalism
- constraint
- matter: fluctuation
- bibliography
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