Abstract
.In this paper, we examine static spherically symmetric wormhole solutions in generalized f(R,phi) gravity. To do this, we consider three different kinds of fluids: anisotropic, barotropic and isotropic. We explore different f(R,phi) models and inspect the energy conditions for all of those three fluids. It is found that under some models in this theory, it is possible to obtain wormhole solutions without requiring exotic matter. The discussion about the conditions where the standard energy conditions (WEC and NEC) are valid for the fluids is discussed in details. From our results and for our cases, we conclude that for anisotropic and isotropic fluids, realistic wormhole geometries satisfying the energy conditions can be constructed.
Highlights
From theoretical and observational reasons, it is believed that General Relativity (GR) might be an incomplete theory
In 1955, Jordan proposed a complete gravitational theory based on the idea that G plays the role of a gravitational scalar field in accordance with Dirac’s argument in such a way that the gravitational constant should be time-dependent [1,2]
In 1961, Brans and Dicke presented a scalar-tensor gravity theory as an effort to incorporate the Mach’s proposal in the Einstein-Hilbert gravitational framework, the so-called Brans-Dicke (BD) theory [3]. This theory has been generalized in different ways, for example by introducing some arbitrary potential functions for the scalar field [4,5], or considering a field-dependent BD parameter [6] or introducing inverse curvature correction in BD action [7] or considering a non-minimal coupling between the scalar field and matter systems [8,9]
Summary
From theoretical and observational reasons, it is believed that General Relativity (GR) might be an incomplete theory. This paper is organised as follows: Section 2 is devoted to present the field equations for the Morris-Thorne metric in our extended quintessence scalar-tensor theory. We will present the field equations for the extended f (R, φ) gravity in the Morris-Thorne geometry and study its generic properties to find out the general energy conditions. If NEC is violated WEC will be violated and if WEC is valid, it does not imply that the NEC is satisfied In the literature, this approach has been discussed in different contexts including f (R) gravity [35,36], curvature-matter couplings [50,51], braneworlds [52], f (T ) theory [37,38], or in hybrid metric-Palatini f (R) [44].
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