Equivalence between fourth-order theories of gravity and general relativity: Possible implications for the cosmological singularity

Details Equivalence between fourth-order theories of gravity and general relativity: Possible implications for the cosmological singularity Equivalence between fourth-order theories of gravity and general relativity: Possible implications for the cosmological singularity

Jan 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrvd..35..480l&link_type=abstract

Physical Review D (Particles and Fields), Volume 35, Issue 2, 15 January 1987, pp.480-482

Mathematics

Logic

9

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

Scientific paper

A recent result has shown that the fourth-order theories of gravity with the action S=F √-g (2Λ+R+(1/2)aR2)d4x are conformally equivalent to general relativity with a scalar field. This result may enlighten the validity of timelike and null convergence conditions in spatially homogeneous cosmological models with a diagonal metric. This approach points out that, under particular conditions, the timelike and null geodesics may be complete.

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