• DOI:10.1103/PhysRevD.101.063513
• Corpus ID: 204788834

Time-dependent G in Einstein’s equations as an alternative to the cosmological constant

@article{Hanmeli2019TimedependentG,
  title={Time-dependent 
G
 in Einstein’s equations as an alternative to the cosmological constant},
  author={Ekim Taylan Hanımeli and Brahim Lamine and Alain Blanchard and Isaac Tutusaus},
  journal={Physical Review D},
  year={2019}
}

• E. T. Hanımeli, B. Lamine, +1 author I. Tutusaus
• Published 18 October 2019
• Physics
• Physical Review D

In this work we investigate cosmologies where the gravitational constant varies in time, with the aim of explaining the accelerated expansion without a cosmological constant. We achieve this by considering a phenomenological extension to general relativity, modifying Einstein's field equations such that $G$ is a function of time, $G(t)$, and we preserve the geometrical consistency (Bianchi identity) together with the usual conservation of energy by introducing a new tensor field to the equations. In order to have concrete expressions to compare with cosmological data, we posit additional properties to this tensor field, in a way that it can be interpreted as a response of spacetime to a variation of $G$. Namely, we require that the energy this tensor represents is non-zero only when there is a time variation of $G$, and its energy depends on the scale factor only because of its coupling to $G$ and the matter and radiation energy densities. Focusing on the accelerated expansion period, we use type Ia supernovae and baryon acoustic oscillations data to determine the best-fit of the cosmological parameters as well as the required variation in the gravitational constant. As a result, we find that it is possible to explain the accelerated expansion of the Universe with a variation of $G$ and no cosmological constant. The obtained variation of $G$ stays under 10 percent of its current value in the investigated redshift range and it is consistent with the local observations of $\dot{G}/G$.