Some new cosmological results of quadratic Lagrangians

Details Some new cosmological results of quadratic Lagrangians Some new cosmological results of quadratic Lagrangians

Sep 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvd..38.1741f&link_type=abstract

Physical Review D (Particles and Fields), Volume 38, Issue 6, 15 September 1988, pp.1741-1753

Physics

13

Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

We present the field equations derived from a gravitational Lagrangian which includes a general combination of terms quadratic in the curvature tensor, assuming a space-time with one timelike dimension and two maximally symmetric spacelike subspaces, with arbitrary dimensions d and D. We then restrict ourselves to the case d=3, and find a general solution for the case of a radiation-dominated universe with a static pressureless internal space. Conditions for the existence of Friedmann-type solutions are derived and discussed. Finally we study the equations, again with a static internal space, for pressureless matter in both subspaces.

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