String in Horava-Lifshitz Gravity
arXiv:1002.2849 · doi:10.1103/PhysRevD.82.086007
Abstract
We generalize recent analysis of the dynamics of point particle in Horava-Lifshitz background to the case of string probe when we replace the Hamiltonian constraint of the Polyakov string with the constraint that breaks Lorentz invariance of target space-time. Then we find corresponding Lagrangian and argue that the world-sheet theory is invariant under foliation preserving diffeomorphism. Finally we discuss the Hamiltonian dynamics and show that this is well defined on condition that the world-sheet lapse function obeys the projectability condition.
20 pages, references added
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- The generalized second law of thermodynamics in Horava-Lifshitz cosmology
- Electrodynamics a la Horava
- Stability of Horava-Lifshitz Black Holes in the Context of AdS/CFT
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