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Gravitational Theory with a Dynamical Time · Around

2009

Gravitational Theory with a Dynamical Time

Guendelman, E. I.

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A gravitational theory involving a vector field $\chi^{\mu}$, whose zero component has the properties of a dynamical time, is studied.

The variation of the action with respect to $\chi^{\mu}$ gives the covariant conservation of an energy momentum tensor $ T^{\mu \nu}_{(\chi)}$.
Studying the theory in a background which has killing vectors and killing tensors we find appropriate shift symmetries of the field $\chi^{\mu}$ which lead to conservation laws.
The energy momentum that is the source of gravity $ T^{\mu \nu}_{(G)}$ is different but related to $ T^{\mu \nu}_{(\chi)}$ and the covariant conservation of $ T^{\mu \nu}_{(G)}$ determines in general the vector field $\chi^{\mu}$.

Built on

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Similar

See for an introduction see K.V. Kuchar, ”Time and interpretations of quantum gravity”. May 1991. 114pp. In *Winnipeg 1991, Proceedings, General relativity and relativistic astrophysics* 211-314
1991
Cited alongside, same era.
For discussions and modern applications of these concepts see, V. Iyer, R. M. Wald, Phys. Rev
1994
Cited alongside, same era.
R.H. Rietdijk and J.W. Van Holten, Nucl. Phys
2001
Cited alongside, same era.
E.I. Guendelman, A.B. Kaganovich, Int. J. Mod. Phys
2002
Cited alongside, same era.
E.I. Guendelman and A.B. Kaganovich, Phys. Rev
Original
2006
Cited alongside, same era.

Then

E.I. Guendelman, Mod. Phys. Lett
Original
2006
Later among the works it cites.
C. Marinoni , F. Piazza, e-Print: astro-ph/0312001; C. F. Martins, P. Salucci, Phys. Rev. Lett
2007
Later among the works it cites.
D. Comelli, Int. J. Mod. Phys
Original
2008
Later among the works it cites.
For some previous discussions concerning creation of universes at no energy cost, also in the context of a string matter equation of state see Stefano Ansoldi, E.I. Guendelman, Prog. Theor. Phys
Original
2008
Later among the works it cites.

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