Constraints on emergent gravity

Details Constraints on emergent gravity Constraints on emergent gravity

2009-04-03

arxiv.org/abs/0904.0453v2

Int.J.Mod.Phys.D18:2249-2255,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 1 figure, preprint format. Submitted to the Gravity Research Foundation 2009 Awards for Essays on Gravitation. Awarde

Scientific paper

10.1142/S0218271809015941

In this essay we review the central difficulty in formulating a viable quantum field theory in which gravity is emergent at low energies, rather than mediated by a fundamental gauge field. The Weinberg-Witten theorem forbids spin 2 massless modes from carrying Lorentz covariant stress-energy. In General Relativity the stress-energy is not covariant because it violates a gauge symmetry, but a gravitational theory without fundamental spin 2 gauge invariance must either lack a stress-energy operator or have a non-relativistic graviton. The latter option is incompatible with the principle of equivalence, though such theories are not necessarily ruled out at low energies.

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