Generalized form of exponential wormhole metric

Abstract

In this work we have formulated a general exponential wormhole metric. Here initially we have considered a exponential wormhole metric in which the temporal component is an exponential function of r but the spatial components of the metrics are fixed as a particular function e 2m r +2αr . Following that, we have constructed a generalised exponential wormhole metric in which the spatial component is an exponential function of r but the temporal component is fixed as a particular function given by e − 2m r −2αr . Finally we have considered exponential metric in which both the temporal and spatial components are generalised exponential function of r. We have also studied some of their properties including throat radius, energy conditions, the metric in curvature coordinates, effective refractive index, ISCO and photon sphere, Regge-Wheeler potential and determined the curvature tensor. The radius of the throat is found to be consistent with the properties of wormholes, which are given by r = m, r = −1+ √ 1+4αm 2α, r = −1+ √ 1+8αm 4α...etc. Most interestingly, their throat radius is same for the same spatial component and the same range of values of m. In addition to these they also violate Null Energy Condition(NEC) near the throat.