Analogue Models for Emergent Gravity

Details Analogue Models for Emergent Gravity Analogue Models for Emergent Gravity

2009-09-21

arxiv.org/abs/0909.3834v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

47 pages. To appear in the Proceedings of the XVIII SIGRAV Conference, Cosenza, September 22-25, 2008

Scientific paper

Gravity stands out among the fundamental interactions because of its apparent incompatibility with having a quantum description. Moreover, thermodynamic aspects of gravitation theory appears as puzzling features of some classical solutions such as black holes. These and other aspects of gravitational theories have recently lead to the proposal that gravity might not be a fundamental interaction but rather an emergent phenomenon, a sort of hydrodynamic limit of some more fundamental theory. In order to further explore this possibility we shall here discuss two systems where such emergence of a gravitational dynamics is observed. We shall consider first the case of a non-relativistic Bose-Einstein condensate and then a more abstract model based on scalar fields living on a Riemannian manifold. This will allow us to put in evidence the general issues related to emergent gravity scenarios with a particular attention to the role and nature of Lorentz and diffeomorphism invariance.

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