Issue
EPL
Volume 86, Number 2, April 2009
Article Number 20004
Number of page(s) 6
Section General
DOI http://dx.doi.org/10.1209/0295-5075/86/20004
Published online 04 May 2009
EPL, 86 (2009) 20004
DOI: 10.1209/0295-5075/86/20004

A spherically symmetric and stationary universe from a weak modification of general relativity

C. Corda1 and H. J. Mosquera Questa2

1   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

christian.corda@ego-gw.it
herman@icra.it

received 5 March 2009; accepted in final form 20 March 2009; published April 2009
published online 4 May 2009

Abstract
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