Work

Schrödinger-like Dilaton Gravity

Year: 2011

Type: article

Abstract: We investigate possibilities for a Schrödinger-like gravity with the dynamical critical exponent z = 2, where the action only contains the first-order time derivative.The Horava gravity always admits such a relevant deformation because the full (d + 1) dimensional diffeomorphism of the Einstein gravity is replaced by the foliation preserving diffeomorphism.The dynamics is locally trivial or topological in the pure gravity case, but we can construct a dynamical field theory with a z = 2 dispersion relation by introducing a dilaton degree of freedom.Our model provides a classical starting point for the possible quantum dilaton gravity which may be applied to a membrane quantization.

Source: Symmetry Integrability and Geometry Methods and Applications

DOI: 10.3842/sigma.2011.014

Author: Yu Nakayama

Institutions: California Institute of Technology, Kavli Institute for the Physics and Mathematics of the Universe, The University of Tokyo, University of California, Berkeley

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: National Science Foundation, University of California Berkeley, Ministry of Education, Culture, Sports, Science and Technology

Award: Research in String Theory