Volume 86, Number 2, April 2009
|Number of page(s)||6|
|Published online||04 May 2009|
A spherically symmetric and stationary universe from a weak modification of general relativity
Associazione Galileo Galilei - Via Pier Cironi 16, 59100 Prato, Italy, EU
2 Instituto de Cosmologia, Relatividade e Astrofìsica (ICRA-BR), Centro Brasilero de Pesquisas Fisicas Rua Dr. Xavier Sigaud 150, CEP 22290-180 Urca Rio de Janeiro, RJ, Brazil
Accepted: 20 March 2009
It is shown that a weak modification of general relativity, in the linearized approach, renders a spherically symmetric and stationary model of the universe. This is due to the presence of a third mode of polarization in the linearized gravity in which a “curvature” energy term is present. Such an energy can, in principle, be identified as the Dark Energy. The model can also help to a better understanding of the framework of the Einstein-Vlasov system.
PACS: 04.50.Kd – Modified theories of gravity / 04.40.-b – Self-gravitating systems; continuous media and classical fields in curved spacetime / 04.25.Nx – Post-Newtonian approximation; perturbation theory; related approximations
© EPLA, 2009
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