Abstract
In this paper, we analyze static traversable wormholes via Noether symmetry technique in modified Gauss–Bonnet f(mathcal {G}) theory of gravity (where mathcal {G} represents Gauss–Bonnet term). We assume isotropic matter configuration and spherically symmetric metric. We construct three f(mathcal {G}) models, i.e, linear, quadratic and exponential forms and examine the consistency of these models. The traversable nature of wormhole solutions is discussed via null energy bound of the effective stress–energy tensor while physical behavior is studied through standard energy bounds of isotropic fluid. We also discuss the stability of these wormholes inside the wormhole throat and conclude the presence of traversable and physically stable wormholes for quadratic as well as exponential f(mathcal {G}) models.
Highlights
The general theory of relativity (GR) incorporates information about gravity and matter and provides foundation for the understanding of black holes and standard big-bang model of cosmology
The favorable and optimistic approach to unveil the salient features of these dark aspects is to modify the gravity by introducing some extra degrees of freedom in the Einstein–Hilbert action
These modifications are formulated by replacing or adding curvature invariants as well as their corresponding generic functions in Einstein– Hilbert action referred as modified gravitational theories [1]
Summary
The general theory of relativity (GR) incorporates information about gravity and matter and provides foundation for the understanding of black holes and standard big-bang model of cosmology. The favorable and optimistic approach to unveil the salient features of these dark aspects is to modify the gravity by introducing some extra degrees of freedom in the Einstein–Hilbert action These modifications are formulated by replacing or adding curvature invariants as well as their corresponding generic functions in Einstein– Hilbert action referred as modified gravitational theories [1]. Bahamonde et al [27] found definite solutions of shape function and red-shift parameter via Noether symmetry and examined the graphical behavior in the background of non-minimal coupling with torsion scalar in scalar-tensor theory. Sharif and Nawazish investigated the static WH solutions using Noether symmetry technique in both f (R) [28] as well as f (R, T ) gravity [29] and found stable structure for two different values of red-shift function. For spherically symmetric spacetime (5) and perfect fluid (6), we formulate the field equations corresponding to
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