Palatini Variational Principle for $N$-Dimensional Dilaton Gravity

Details Palatini Variational Principle for $N$-Dimensional Dilaton Gravity Palatini Variational Principle for $N$-Dimensional Dilaton Gravity

1997-10-31

arxiv.org/abs/gr-qc/9710139v1

Class.Quant.Grav. 15 (1998) 1375-1385

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, LaTeX

Scientific paper

10.1088/0264-9381/15/5/019

We consider a Palatini variation on a general $N$-Dimensional second order, torsion-free dilaton gravity action and determine the resulting equations of motion. Consistency is checked by considering the restraint imposed due to invariance of the matter action under simple coordinate transformations, and the special case of N=2 is examined. We also examine a sub-class of theories whereby a Palatini variation dynamically coincides with that of the "ordinary" Hilbert variational principle; in particular we examine a generalized Brans-Dicke theory and the associated role of conformal transformations.

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