RT Journal Article
T1 f(R)gravity without a cosmological constant
A1 Cruz Dombriz, Álvaro de la
A1 Dobado González, Antonio
AB In this work we consider the possibility of describing the current evolution of the universe, without the introduction of any cosmological constant or dark energy (DE), by modifying the Einstein-Hilbert (EH) action. In the context of the f(R) gravities within the metric formalism, we show that it is possible to find an action without cosmological constant which exactly reproduces the behavior of the EH action with cosmological constant. In addition the f(R) action is analytical at the origin having Minkowski and Schwarzschild solutions as vacuum solutions. The found f(R) action is highly nontrivial and must be written in terms of hypergeometric functions but, in spite of looking somewhat artificial, it shows that the cosmological constant, or more generally the DE, is not a logical necessity.
PB American Physical Society
SN 1550-7998
YR 2006
FD 2006-10
LK https://hdl.handle.net/20.500.14352/50726
UL https://hdl.handle.net/20.500.14352/50726
LA eng
NO © 2006 The American Physical Society.We would like to thank J. A. R. Cembranos and veryspecially A. L. Maroto for useful comments and discussions.We also thank S. D. Odintsov for bringing to ourattention [13], where special functions are also consideredas f(R)candidates for cosmologically viable models. Thiswork has been partially supported by the DGICYT (Spain)under the project No. FPA2005-02327.
NO DGICYT (Spain)
DS Docta Complutense
RD 10 abr 2025