Traversable wormhole on the brane with non-exotic matter: a broader view

Abstract

In this article, the possibility of construction of a traversable wormhole on the Randall-Sundrum braneworld with non-exotic matter employing the Kuchowicz potential has been studied. We have obtained the solution for the shape function of the wormhole and studied its properties along with validity of Null Energy Condition (NEC). The junction conditions at the surface of the wormhole are used to evaluate the model parameters. We also evaluate the surface density and surface pressure for the wormhole. We study the geometrical nature of the wormhole and consider the radial and tangential tidal constraints on a traveller trying to traverse the wormhole. Besides, a linearized stability analysis is performed to obtain the region of stability for the wormhole. Our analysis, besides giving an estimate for the bulk equation of state (EoS) parameter, imposes restrictions on the brane tension, which is a very essential parameter in braneworld physics, and very interestingly the restrictions imposed by our physically plausible and traversable wormhole model are in conformity with those imposed by other braneworld geometries which are not associated with a wormhole solution. Besides, it is important to study such constraints imposed by geometrical objects such as wormholes on any gravity theory operating at high-energy scales like braneworld, as wormholes are believed to have been formed from massive compact objects of high energy densities. Also, we go on to justify that the possible detection of a wormhole may well indicate that we live on a three-brane universe.

Gravastar under the framework of braneworld gravity II: effect of the Kuchowicz metric function

“…In our present work we extend this study to test the effect of the Kuchowicz function as one of the metric potential describing the gravastar on the brane. Moreover, we have studied the construction of a wormhole on the brane with the redshift function being described by the Kuchowicz metric potential [77]. As we can see, using Kuchowicz function has led to many interesting results in case of both the wormhole and gravastar on the brane.…”

“…A small value of the brane tension σ ensures that our analysis is valid in the high energy regime, where we actually look to operate involving the higherdimensional corrections and providing a non-singular compact object model. In our work on wormhole [77], we draw important constraint on the brane tension. In our present work we have used value of brane tension from within our constrained range to provide stable and successful model of gravastar.…”

“…The single brane RS scenario has been extremely popular in addressing cosmological and astrophysical problems and have led to plenty of interesting results over the last two decades [21-23, 59-65, 67-76]. Previously we have studied static, spherically symmetric gravastar [1] and wormhole solutions [77] on the brane. Wormhole solution with the Kuchowicz function as one of the metric potentials have led to many interesting consequences on the brane, mainly imposing constraints on the brane tension which is one of the most important parameters in the context of RS gravity.…”

On the Possibility of Generalized Wormhole Formation in the Galactic Halo Due to Dark Matter Using the Observational Data within the Matter Coupling Gravity Formalism

“…Interestingly, the possibility of construction of a traversable wormhole on the Randall-Sundrum braneworld, with nonexotic matter employing the Kuchowicz potential, has been studied by Sengupta et al (2022). In connection to our present theme of the Ellis-Bronnikov wormholes, we note an analysis of the global structure of the Bronnikov wormhole, which is the most general spherically symmetric and static solution in Einstein gravity coupled to a free massless phantom scalar (Huang et al 2022).…”

Does violation of cosmic no-hair conjecture guarantee the existence of wormhole?

“…Also, several works have been carried out on the existence of a wormhole solution with non-exotic matter. Readers may refer to [11][12][13][14][15][16][17][18][19][20][21][22][23] for more details.…”