Energy conditions for a spacetime in F(R)-gravity
Department of Mathematical and Actuarial Sciences, Universiti Tunku Abdul Rahman, Jalan Sungai Long, 43000, Cheras, Malaysia
2 Institute of Mathematical Sciences, University of Malaya, 50603, Kuala Lumpur, Malaysia
3 Department of Mathematics, Birla Institute of Technology and Science-Pilani, Hyderabad Campus, 500078, Hyderabad, India
Accepted: 10 February 2021
Published online: 16 February 2021
The objective of the present paper is to study four-dimensional weakly Ricci symmetric spacetimes with nonzero constant Ricci scalar. We prove that such a satisfying F(R)-gravity field equations represents a perfect fluid with vanishing vorticity. Some energy conditions are studied under the current setting to constrain the functional form of F(R). We examine a couple of popular toy models in F(R)-gravity, where is constant and , is a constant. We also find that the equation of state parameter (EoS) in both models supports the universe’s accelerating behavior, i.e., . According to the recently suggested observations of accelerated expansion, both cases define that the null, weak, and dominant energy conditions justify their requirements while the strong energy conditions violate them.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021