When is Multimetric Gravity Ghost-free? - INSPIRE

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When is Multimetric Gravity Ghost-free?

Kouichi Nomura
(
- Kyoto U.
)
,
Jiro Soda
(
- Kyoto U.
)

Jul, 2012

22 pages

Published in:

Phys.Rev.D 86 (2012) 084052

e-Print:

1207.3637 [hep-th]

DOI:

10.1103/PhysRevD.86.084052

Report number:

KUNS-2407

View in:

ADS Abstract Service

reference search64 citations

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Abstract: (arXiv)

We study ghosts in multimetric gravity by combining the mini-superspace and the Hamiltonian constraint analysis. We first revisit bimetric gravity and explain why it is ghost-free. Then, we apply our method to trimetric gravity and clarify when the model contains a ghost. More precisely, we prove trimetric gravity generically contains a ghost. However, if we cut the interaction of a pair of metrics, trimetric gravity becomes ghost-free. We further extend the Hamiltonian analysis to general multimetric gravity and calculate the number of ghosts in various models. Thus, we find multimetric gravity with loop type interactions never becomes ghost-free.

Note:

22 pages, 6 figures

04.50.-h
constraint: Hamiltonian
ghost
metric: multiple
minisuperspace
gravitation: massive

References(28)

Figures(6)

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