Emergent Gravity from Vanishing Energy-Momentum Tensor
Abstract
A constraint of vanishing energy-momentum tensor is motivated by a variety of perspectives on quantum gravity. We demonstrate in a concrete example how this constraint leads to a metric-independent theory in which quantum gravity emerges as a nonperturbative artifact of regularization-scale physics. We analyze a scalar theory similar to the Dirac-Born-Infeld (DBI) theory with vanishing gauge fields, with the DBI Lagrangian modulated by a scalar potential. In the limit of a large number of scalars, we explicitly demonstrate the existence of a composite massless spin-2 graviton in the spectrum that couples to matter as in Einstein gravity. We comment on the cosmological constant problem and the generalization to theories with fermions and gauge fields.
Cite
@article{arxiv.1610.08521,
title = {Emergent Gravity from Vanishing Energy-Momentum Tensor},
author = {Christopher D. Carone and Joshua Erlich and Diana Vaman},
journal= {arXiv preprint arXiv:1610.08521},
year = {2017}
}
Comments
25 pages, 6 figures