Existence of static wormholes in f(𝒢,T) gravity

Abstract

This paper investigates static spherically symmetric traversable wormhole solutions in f (G, T ) gravity (G and T represent the GaussBonnet invariant and trace of the energy-momentum tensor, respectively). We construct explicit expressions for ordinary matter by taking specific form of red-shift function and f (G, T ) model. To analyze possible existence of wormholes, we consider anisotropic, isotropic as well as barotropic matter distributions. The graphical analysis shows the violation of null energy condition for the effective energymomentum tensor throughout the evolution while ordinary matter meets energy constraints in certain regions for each case of matter distribution. It is concluded that traversable WH solutions are physically acceptable in this theory.

Cosmological dynamics in R2 gravity with logarithmic trace term

“…This theory is used to find the exact solutions and compute the physical quantities in the context of an anisotropic model [54]. This theory has been investigated in several other aspects [55][56][57]. Apart from these, the class of f (R, T ) theories have gained much attention to explain the accelerated expansion of the universe [58].…”

Traversable wormholes in Einsteinian cubic gravity

“…The study of wormhole solutions in the framework of modified gravity has become a main focus of interest in modern cosmology. This topic has attracted much attention in recent years and a large amount of work has been devoted to this issue among which we quote: spacetimes admitting wormhole solutions in Brans-Dicke theory [14], f (R) gravity [15], Born-Infeld theory [16], Einstein-Gauss-Bonnet theory [17], Kaluza-Klein gravity [18], Rastall gravity [19], scalar-tensor gravity [20] wormhole solutions in the presence of a cosmological constant [21], non-commutative geometry [22] and other modified gravity theories [23].…”

Models of Collapsing and Expanding Cylindrical Source in f(R,T) Theory

“…To observe physical viability of our solution, we plot the null (NEC), weak (WEC), strong (SEC) and dominant (DEC) energy conditions for the curvature-matter coupled gravity [35] • NEC: ρ + p r − A ≥ 0, ρ + p θ − A ≥ 0, ρ + p z − A ≥ 0,…”