Static traversable wormholes in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si8.svg"><mml:mrow><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi>R</mml:mi><mml:mo linebreak="goodbreak">+</mml:mo><mml:mn>2</mml:mn><mml:mi>α</mml:mi><mml:mi>ln</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math> gravity

In the paper we will proceed towards taking the larger root of and make it equal to zero to remove the event horizon of a Kerr black hole (BH) in Boyer-Lindquist coordinates with a prevalent ring type singularity that can be smoothen by a tunneling approach of a spherinder thereby proceeding safely towards the Cauchy horizon with the deduced intervals computed in detail for the time travel in the Throne-Morris wormhole (WH) approach under gravity without the presence of any exotic matter at the WH mouth thereby preserving the asymptotically solutions of flaring out conditions and mouth opening during the course of the journey through the Einstein-Rosen bridge. An approach has been organized in the paper in which not only time travel is possible without exotic matter but also time travel is flexible to past and future in the Einstein’s universe by eliminating all sorts of paradoxes by spatial sheath through 2D approach of temporal dimensions.

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“…For shape function , throat is at [20], The choice of shape function is very important as it gives the following results [33]:…”

Section: Solutions Of Throne-morris Wormhole Assuming the Redshift Function Is Constantmentioning

confidence: 99%

Computing the temporal intervals by making a Throne-Morris wormhole from a Kerr black hole in the context of f(R,T) gravity

Harikant

Roy

Bhattacharjee³

2021

int.jour.sci.res.mana.

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“…Wormhole solutions have been formulated in f (R) gravity with models such as f (R) = 1/R and f (R) = R 2 [16]. Recently, traversable wormhole solutions have been studied extensively in different f (R) gravity theories with different choices of metric parameters [17,18,19,20,21,22,23,24,25]. In this study, we focus on a recently proposed model [26] with the following form of f (R):…”

Section: Introductionmentioning

confidence: 99%

New Wormhole Solutions in a Viable $f(R)$ Gravity Model

Baruah¹,

Goswami²,

Deshamukhya³

2021

Preprint

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Traversable wormhole solutions in general relativity (GR) require exotic matter sources that violate the null energy condition. f (R) gravity has been studied extensively as a viable alternative to GR, and traversable wormhole solutions in f (R) gravity have been discussed extensively. In this study, we present a spherically symmetric traversable Morris-Thorne wormhole solution in a recently proposed f (R) gravity model with. We analyze the different energy conditions for our solution, and demonstrate that traversable wormholes can be realized in this theory.

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“…WH solutions are admitted with anisotropic and isotropic fluids under certain conditions. Godani and Samanta [36] considered another functional form of f (R, T ) -gravity relevant for dark energy model in cosmology to obtain wormhole solutions and found that wormhole solutions are permitted without the requirement of non-exotic matter for a given type of shape function. In this paper we consider a modified f (R, T ) = f (R) + λT , where λ is a constant and f (R) = R + αR 2 to obtain wormhole solutions.…”

Section: Introductionmentioning

confidence: 99%

Morris-Thorne Wormholes in $f(R,T)$ modified theory of gravity

Chanda,

Dey,

Paul

2021

Preprint

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Wormhole solutions obtained by Morris and Thorne (MT) in general relativity (GR) is investigated in a modified theory of gravity. In the gravitational action, we consider f (R, T ) which is a function of the Ricci scalar (R) and the trace of the energy momentum tensor (T ). In the framework of a modified gravity described by f (R, T ) = R + αR 2 + λT , where α and λ are constants, MT wormhole solutions (WH) with normal matter are obtained for a relevant shape function. The energy conditions are probed at the throat and away from the throat of the WH. It is found that the coupling parameters, α and λ in the gravitational action play an important role to decide the matter composition needed. It is found that for a given λ, WH exists in the presence of exotic matter at the throat when α < 0. However, it is demonstrated that the WH exists without exotic matter when α > 0 in the modified gravity. Two different shape functions are analyzed for the WH solutions that admits with or without exotic matter. It is noted that in a modified gravity MT WH permits even with normal matter which is not possible in GR. It is shown that a class of WH solutions exist with anisotropic fluid for λ = −8π. However, for flat asymptotic regions with anisotropic fluids WH solutions cannot be realized for λ = −8π. All the energy conditions are found consistent with the hybrid shape function indicating existence of WH even with normal matter for λ → 0.

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Static traversable wormholes in f(R,T)=R+2αlnT gravity

Cited by 41 publications

References 101 publications

Computing the temporal intervals by making a Throne-Morris wormhole from a Kerr black hole in the context of f(R,T) gravity

Computing the temporal intervals by making a Throne-Morris wormhole from a Kerr black hole in the context of f(R,T) gravity

New Wormhole Solutions in a Viable $f(R)$ Gravity Model

Morris-Thorne Wormholes in $f(R,T)$ modified theory of gravity

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