Engineering topics

Kluson, J

Publications and source records attributed to Kluson, J.

3 records

DOE OSTI2011

Hamiltonian analysis of nonrelativistic covariant restricted-foliation-preserving diffeomorphism invariant Horava-Lifshitz gravity

We perform the Hamiltonian analysis of nonrelativistic covariant Horava-Lifshitz gravity in the formulation presented recently in arXiv:1009.4885. We argue that the resulting Hamiltonian structure is in agreement with the original construction of nonrelativistic covariant Horava-Lifshitz gravity presented in arXiv:1007.2410. Then we extend this construction to the case of restricted-foliation-preserving diffeomorphism invariant Horava-Lifshitz theory. We find a well behaved Hamiltonian system with the number of the first- and the second-class constraints that ensure the correct number of physical degrees of freedom of gravity.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗

DOE OSTI2010

String in Horava-Lifshitz gravity

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.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

DOE OSTI2010

Note about Hamiltonian formulation of modified F(R) Horava-Lifshitz gravities and their healthy extension

This note is devoted to the study of Hamiltonian formulation of modified F(R) Horava-Lifshitz theories of gravity that were proposed recently by Chaichian and collaborators [arXiv:1001.4102]. We also study Hamiltonian formulation of the healthy extended Horava-Lifshitz gravities and show that these theories have the Hamiltonian structure that is different from Hamiltonian formulation general relativity.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗