Dynamical degrees of freedom for higher genus Riemann surface in (2+1)-dimensional general relativity
General Relativity and Quantum Cosmology
2015-09-09 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
A homogeneous two-dimensional metric including the degrees of freedom of Teichm\"uller deformation is developed. The Teichm\"uller deformation is incorporated by affine stretching of complex structure. According to Yamada's investigation by pinching parameter, concrete formulation for a higher genus Riemann surface can be realized. We will have a homogeneous standard metric including the dynamical degrees of freedom as Teichm\"uller deformation in a leading order of the pinching parameter, which would be treated as homogeneous anisotropic metric for a double torus universe, which satisfy momentum constraints.
Keywords
Cite
@article{arxiv.1509.02266,
title = {Dynamical degrees of freedom for higher genus Riemann surface in (2+1)-dimensional general relativity},
author = {Masaru Siino},
journal= {arXiv preprint arXiv:1509.02266},
year = {2015}
}
Comments
13 pages, 3 figures