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2011

n-DBI gravity

Herdeiro, Carlos, Hirano, Shinji, Sato, Yuki

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n-DBI gravity is a gravitational theory introduced in arXiv:1109.1468 [hep-th], motivated by Dirac-Born-Infeld type conformal scalar theory and designed to yield non-eternal inflation spontaneously.

It contains a foliation structure provided by an everywhere time-like vector field n, which couples to the gravitational sector of the theory, but decouples in the small curvature limit.
We show that any solution of Einstein gravity with a particular curvature property is a solution of n-DBI gravity.
Amongst them is a class of geometries isometric to Reissner-Nordstrom-(Anti) de Sitter black hole, which is obtained within the spherically symmetric solutions of n-DBI gravity minimally coupled to the Maxwell field.

n-DBI gravity · Around

Built on

R. L. Arnowitt, S. Deser and C. W. Misner, “Canonical variables for general relativity,” Phys. Rev. 117
1960
Earlier work this paper cites.
D. Lovelock, “The Einstein tensor and its generalizations,” J. Math. Phys. 12
1971
Earlier work this paper cites.

Similar

J. W. York, “Role of conformal three geometry in the dynamics of gravitation,” Phys. Rev. Lett. 28
1972
Cited alongside, same era.
G. W. Gibbons and S. W. Hawking, “Action Integrals and Partition Functions in Quantum Gravity,” Phys. Rev. D 15
1977
Cited alongside, same era.
C. Herdeiro, S. Hirano, “Scale invariance and a gravitational model with non-eternal inflation,” [arXiv:1109.1468 [hep-th]]
Original
Cited in the paper.
J. W. York, “The Initial value problem using metric and extrinsic curvature,” arXiv:gr-qc/0405005
Cited in the paper.
E. Gourgoulhon, “3+1 formalism and bases of numerical relativity,” [gr-qc/0703035 [GR-QC]]
Cited in the paper.

Then

T. Jacobson, “Einstein-aether gravity: A Status report,” PoS QG-PH
Original
2007
Later among the works it cites.
P. Horava, “Quantum Gravity at a Lifshitz Point,” Phys. Rev. D79
Original
2009
Later among the works it cites.

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