Study on wormhole geometry with rho (R, R^{'}) matter in modified gravity

Nisha Godani,Smrutirekha Debata,Shantanu K Biswal,Gauranga C Samanta

doi:10.1140/epjc/s10052-019-7596-4

Abstract

In this work, static traversable wormholes are investigated in R^2 gravity with logarithmic trace term T, where R denotes the Ricci scalar, and T=-rho +p_r+2p_t>0, the trace of the energy momentum tensor. The connection between energy density of the matter component and the Ricci scalar is taken into account. Exact wormhole solutions are determined for three different novel forms of energy density: rho =alpha _1 R+beta _1 R^{'}e^{xi _1 R}, rho =alpha _2 R e^{xi _2 R} and rho =alpha _3 R^2+beta _2 R^{'} e^{xi _3 R^{'}}, where prime denotes derivative with respect to r. The parameters alpha _1, beta _1, xi _1, alpha _2, xi _2, alpha _3, xi _3 and beta _2 play an important role for the absence of exotic matter inside the wormhole geometry. The parameter space is separated into numerous regions where the energy conditions are obeyed.

Highlights

The notion of wormhole was first proposed by L
The purpose of this article is to explore the traversable wormholes filled with non-exotic matter in f (R, T ) gravity by defining energy density in following forms: ρ = α1 R + β1 R eξ1 R, ρ = α2 Reξ2 R and ρ = α3 R2 + β2 R eξ3 R
It is found that the Null Energy Condition (NEC) is violated for entire region of the wormhole geometry which implies that the whole geometry is threaded with exotic matter

Summary

Introduction

The notion of wormhole was first proposed by L. Flamm in 1916 [1]. After Flamm, the more detailed nature of wormhole was explored by Einstein and Rosen [2], which is famously called as Einstein–Rosen bridge. A wormhole is a geometrical piece of space-time, which is supposed as a shortcut to join two distinct points in the same space-time or two distinct space-times. The shape of wormhole is considered like a tube, which is asymptotically flat at both sides. The radius of the throat of wormhole can be either constant or variable. If it is constant, wormholes are termed as static wormholes otherwise these are termed as non-static wormholes.

Objectives

Discussion

Conclusion