Recent developments in bimetric theory

Schmidt-May, Angnis; von Strauss, Mikael

doi:10.1088/1751-8113/49/18/183001

Recent developments in bimetric theory

Nov 30, 2015

82 pages

Published in:

J.Phys.A 49 (2016) 18, 183001

Published: Mar 29, 2016

e-Print:

1512.00021 [hep-th]

DOI:

10.1088/1751-8113/49/18/183001

View in:

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Abstract: (arXiv)

This review is dedicated to recent progress in the field of classical, interacting, massive spin-2 theories, with a focus on ghost-free bimetric theory. We will outline its history and its development as a nontrivial extension and generalisation of nonlinear massive gravity. We present a detailed discussion of the consistency proofs of both theories, before we review Einstein solutions to the bimetric equations of motion in vacuum as well as the resulting mass spectrum. We introduce couplings to matter and then discuss the general relativity and massive gravity limits of bimetric theory, which correspond to decoupling the massive or the massless spin-2 field from the matter sector, respectively. More general classical solutions are reviewed and the present status of bimetric cosmology is summarised. An interesting corner in the bimetric parameter space which could potentially give rise to a nonlinear theory for partially massless spin-2 fields is also discussed. Relations to higher-curvature theories of gravity are explained and finally we give an overview of possible extensions of the theory and review its formulation in terms of vielbeins.

Note:

124 pages, 4 figures; minor changes, corrected typos; matches published version

bimetric
ghost
gravitation: massive
mass spectrum
matter: coupling
general relativity
decoupling
cosmological model
field theory: interaction
spin: 2

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