String Theory has no Isotropic Solution for the Modified Einstein's Equations without the Dilaton
High Energy Physics - Theory
2013-06-25 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We investigate the modification to Einstein's vacuum field equations which is imposed by string theory when the dilaton field is ignored. Including the cosmological constant in all calculations, we prove that such a theory of gravity admits no static isotropic solution. We then show that any isotropic solution of the equations in question must necessarily be static, therefore proving that no isotropic solution exists for this stringy modification to gravity.
Keywords
Cite
@article{arxiv.1306.4871,
title = {String Theory has no Isotropic Solution for the Modified Einstein's Equations without the Dilaton},
author = {Christopher Frye and Costas Efthimiou},
journal= {arXiv preprint arXiv:1306.4871},
year = {2013}
}