Generalized Mattig’s relation in Brans–Dicke–Rastall gravity

Abstract

The Geodesic Deviation Equation is being studied in Brans-Dicke-Rastall gravity. We briefly discuss the Brans-Dicke-Rastall gravity and then construct GDE for FLRW metric. In this way, the obtained geodesic deviation equation will correspond to the Brans-Dicke-Rastall gravity. Eventually, we solve numerically the null vector GDE to obtain from Mattig relation, the deviation vector η(z) and observer area distance r0(z) and compare the results with ΛCDM model.

Emergent cosmic space in Rastall theory

“…According to the emergent cosmic space proposal of Padmanabhan [10], the expansion of the universe can be attributed to the difference between the number of degrees of freedom on a 4 Note that the derivation in [23] has an unfortunate mistake (compare (3.9) here with (22) in that reference). This can be most easily seen by inserting the Raychaudhuri equation (9) there into (17) of [23].…”

Phase Structure and Quasinormal Modes of AdS Black Holes in Rastall Theory

“…where R is the Ricci scalar and λ is the Rastall coupling parameter, which measures the potential deviation of Rastall theory from GR. This theory provides an explanation of the inflation problem, as the simplest modified gravity scenario to realize the late-time acceleration and other cosmological problems [2][3][4][5]. It is an interesting result that all electrovacuum solutions of GR automatically meet the equation of motion in the Rastall gravity.…”

A connection between Rastall-type and f(R, T) gravities

“…where we have used a different gravitational coupling. The trace of field equation (15) leaves us with a relation between three variables T, R and λ ′ , as…”