Homothetic vectors and higher-order Lagrangian theories of gravity

Details Homothetic vectors and higher-order Lagrangian theories of gravity Homothetic vectors and higher-order Lagrangian theories of gravity

Sep 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cqgra...6.1213c&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 6, Sept. 1989, p. 1213-1218. Research supported by NSERC and University of

Physics

1

Gravitation Theory, Ideal Fluids, Relativity, Space-Time Functions, Conducting Fluids, Functionals, Quadratic Equations

Scientific paper

In general relativity the geometrical property of the existence of a homothetic vector in a perfect fluid spacetime implies the physical property of self-similarity. It is shown that in higher-order Lagrangian theories of gravity this is not, in general, the case. In particular, the conditions under which a perfect fluid spacetime admitting a homothetic vector is self-similar are studied in the R + aR-squared theory of gravity.

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