Two-dimensional Hořava-Lifshitz theory of gravity.

In this dissertation, two-dimensional Hařava theory of gravity has been studied on the classical and quantum mechanical levels. The classical solutions of the projectable and nonprojectable Hořava gravity have been found and their spacetime structures are investigated in terms of Penrose diagrams. When quantizing the theory in the canonical approach, the integral Hamiltonian constraint in the projectable case will generate the so-called Wheeler-DeWitt equation which can be exactly solved if the invariant length and its conjugate momentum are used as new variables. On the other hand, for the nonprojectable case, the lapse function is no longer a Lagrangian multiplier but one of the canonical variables. This results in a local and second-class Hamiltonian constraint which can be solved for the lapse function. The quantization of nonprojectable case is carried out by directly dropping the unphysical degrees of freedom, that is, replacing Poisson brackets with Dirac brackets. In the last part of the dissertation, the interactions between two-dimensional Hořava gravity and a non-relativistic scalar field are considered. In the projectable case, the minimal coulping is adopted and canonical quantization is carried out in the same way as we have done for the pure gravity case. In the non-projectable case, we turn to the non-minimal couplings and find both Killing and Universal horizons from classical solutions.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Doctoral

Grantor

Baylor University.

Year dc:date.issued

2017

Author dc:creator

• Li, Baofei, 1985-

Advisor dc:contributor.advisor

• Wang, Anzhong.

• Horava-Lifshitz gravity.
• Quantization.
• Killing and universal horizons.

Statement dc:rights

• Baylor University works are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. Contact libraryquestions@baylor.edu for inquiries about permission.

Language dc:language.iso

en

Handle dc:identifier.uri

https://hdl.handle.net/2104/10193

OAI identifier oai:identifier

oai:baylor-ir.tdl.org:2104/10193