Einstein Equations from Riemann-only Gravitational Actions
High Energy Physics - Theory
2017-09-27 v4 Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Abstract
Here show that, pure affine actions based solely on the Riemann curvature tensor lead to Einstein field equations for gravitation. The matter and radiation involved are general enough to impose no restrictions on material dynamics or vacuum structure. This dynamical equivalence to General Relativity can be realized via also diffeomorphism breaking.
Cite
@article{arxiv.1105.4750,
title = {Einstein Equations from Riemann-only Gravitational Actions},
author = {Durmus Demir and Oktay Dogangun and Tonguc Rador and Selin Soysal},
journal= {arXiv preprint arXiv:1105.4750},
year = {2017}
}
Comments
Extended content; 11 pp