https://doi.org/10.1140/epjc/s10052-014-3145-3
Regular Article - Theoretical Physics
The Brans–Dicke–Rastall theory
1
Departamento de Física, UFES, Vitória, ES, Brazil
2
Université Abdou Moumouni, Niamey, Niger
3
IFES, Guarapari, ES, Brazil
4
Lebedev Physical Institute, Moscow, Russia
* e-mail: trpcarames@gmail.com
Received:
13
September
2014
Accepted:
20
October
2014
Published online:
18
November
2014
We formulate a theory combining the principles of scalar–tensor gravity and Rastall’s proposal of a violation of the usual conservation laws. We obtain a scalar–tensor theory with two parameters 
and 
, the latter quantifying the violation of the usual conservation laws (
corresponding to the General Relativity limit). The only exact spherically symmetric solution is that of Robinson–Bertotti besides the Schwarzschild solution. A PPN analysis reveals that General Relativity results are reproduced when 
. The cosmological case displays a possibility of deceleration/acceleration or acceleration/deceleration transitions during the matter dominated phase depending on the values of the free parameters.
© SIF and Springer-Verlag Berlin Heidelberg, 2014
