Abstract
In this work, we study the thin-shell wormholes in dRGT massive gravity. In order to glue two bulks of the spacetime geometry, we first derive junction conditions of the dRGT spacetime. We obtain the dynamics of the spherical thin-shell wormholes in the dRGT theory. We show that the massive graviton correction term of the dRGT theory in the Einstein equation is represented in terms of the effective anisotropic pressure fluid. However, if there is only this correction term, without invoking exotic fluids, we find that the thin-shell wormholes cannot be stabilized. We then examine the stability conditions of the wormholes by introducing four existing models of the exotic fluids at the throat. In addition, we analyze the energy conditions for the thin-shell wormholes in the dRGT massive gravity by checking the null, weak, and strong conditions at the wormhole throat. We show that in general the classical energy conditions are violated by introducing all existing models of the exotic fluids. Moreover, we quantify the wormhole geometry by using the embedding diagrams to represent a thin-shell wormhole in the dRGT massive gravity.
Highlights
The recent detection a e-mail: ta_kol@hotmail.com b e-mail: auttakit@sc.chula.ac.th c e-mail: dsamart82@gmail.com d e-mail: channuie@gmail.com of gravitational waves (GWs) [2] confirmed that stellar-mass black holes really exist in Nature
We study the thin-shell wormholes in dRGT massive gravity
We quantify the wormhole geometry by using the embedding diagrams to represent a thin-shell wormhole in the dRGT massive gravity in Sect
Summary
In order to prevent the wormhole’s throat from closing, one can add a scalar field coupled to gravity. These solutions are obtained by considering an unusual type of matter which can maintain the structure of the wormhole This exotic matter with negative energy density satisfies the flareout condition and violates weak energy condition [8,9]. Thinshell wormholes have been studied and analyzed in several contexts involving particular models of exotic matters and theories of gravity, e.g. see Refs. We study the thin-shell wormholes in dRGT massive gravity. The structure of the present work is as follows: we first present a short review of the dRGT model of the nonlinear massive gravity in Sect. We make stability analyses of the dRGT thin-shell wormhole by considering four existing exotic fluid models in Sect.
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