Perturbative formalism of Lovelock gravity

Details Perturbative formalism of Lovelock gravity Perturbative formalism of Lovelock gravity

Nov 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..46.4320m&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 46, Issue 10, 15 November 1992, pp.4320-4339

Physics

22

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

Scientific paper

In this work we develop a perturbative formalism for the treatment of Lovelock theories of gravity. We consider in detail D-dimensional models in Lovelock gravity with an induced metric given by the product of the metrics of two maximally symmetric spaces. We first explicitly obtain the Lovelock action, Hamiltonian constraint, gravitational momenta, and dynamical equations for this type of minisuperspace model. We then apply the perturbative formalism and show how it solves the partial degeneration and multivaluedness problems in the analyzed Lovelock models. We also study the implementation of the proposed perturbative formalism in models whose induced metric is a product of metrics of an arbitrary number of maximally symmetric spaces. We finally comment on the generalization of this formalism to Lovelock gravity in superspace.

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