Traversable Wormholes with Exponential Shape Function in Modified Gravity and in General Relativity: A Comparative Study

Samanta, Gauranga C.; Godani, Nisha; Bamba, Kazuharu

doi:10.48550/arxiv.1811.06834

Cited by 14 publications

(23 citation statements)

References 89 publications

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“…introduced by Samanta et al [82] for the investigation of the wormhole solutions in the background of modified f (R) and f (R, T ) gravity theories.…”

Section: Wormholes Solutionsmentioning

confidence: 99%

“…Godani and Samanta [81] studied traversable wormhole in f (R) gravity for two specific forms of shape functions and found wormhole structures are filled with phantom fluid. Samanta et al [82] defined an exponential shape function and compared the validity of energy conditions in f (R) and f (R, T ) theories of gravity. Recently, Godani and Samanta [83] and Samanta and Godani [84] found the satisfaction of energy conditions for a wide range of radial coordinate in the context of traversable wormholes in f (R) gravity.…”

Section: Introductionmentioning

confidence: 99%

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

Godani¹,

Samanta²

2019

Chinese Journal of Physics

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Traversable wormholes, studied by Morris and Thorne [3] in general relativity, are investigated in this research paper in f (R, T ) gravity by introducing a new form of nonlinear f (R, T ) function. By using this novel function, the Einstein's field equations in f (R, T ) gravity are derived. To obtain the exact wormhole solutions, the relations p t = ωρ and p r = sinh(r)p t , where ρ is the energy density, p r is the radial pressure and p t is the tangential pressure, are used. Other than these relations, two forms of shape function defined in literature are used, and their suitability is examined by exploring the regions of validity of null, weak, strong and dominant energy conditions . Consequently, the radius of the throat or the spherical region, with satisfied energy conditions, is determined and the presence of exotic matter is minimized.

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“…introduced by Samanta et al [82] for the investigation of the wormhole solutions in the background of modified f (R) and f (R, T ) gravity theories.…”

Section: Wormholes Solutionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Godani¹,

Samanta²

2019

Chinese Journal of Physics

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“…However, it is also known for long that there are classical ways as well to circumvent the problem of exotic matter that violates the energy conditions [18][19][20][21]. One such way is the framework of large class of the so-called modified theories of gravity.…”

Section: Introductionmentioning

confidence: 99%

Generalised Ellis-Bronnikov wormholes embedded in warped braneworld background and energy conditions

Sharma,

Ghosh

2021

Preprint

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Ellis-Bronnikov (EB) wormholes require violation of null energy conditions at the 'throat'. This problem was cured by a simple modification of the 'shape function', which introduces a new parameter m ≥ 2 (m = 2 corresponds to the EB model). This leads to a generalised (GEB) version. In this work, we consider a model where the GEB wormhole geometry is embedded in a five dimensional warped background. We studied the status of all the energy conditions in detail for both EB and GEB embedding. We present our results analytically (wherever possible) and graphically. Remarkably, the presence of decaying warp factor leads to satisfaction of weak energy conditions even for the EB geometry, while the status of all the other energy conditions are improved compared to the four dimensional scenario. Besides inventing a new way to avoid the presence of exotic matter, in order to form a wormhole passage, our work reveals yet another advantage of having a warped extra dimension.

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“…An analytical approach is used to get the wormhole solutions in f (R, T ) gravity [68]. An exponential shape function is defined for wormholes and a comparison is made between f (R, T ) and f (R) gravity for the rationality of energy conditions [69]. Wormholes are studied for two types of varying Chaplygin gas and found the violation of dominated and null energy conditions in f (R, T ) gravity [70].…”

Section: Introductionmentioning

confidence: 99%

Traversable wormholes in $f(R,T)$ gravity

Mishra

Sharma

Dubey

et al. 2020

Astrophys Space Sci

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In the present article, models of traversable wormholes within the f (R, T ) modified gravity theory are investigated. We have presented some wormhole models, developed from various hypothesis for the substance of their matter, i.e. various relationships with their components of pressure (lateral and radial). The solutions found for the shape functions of the wormholes produced complies with the required metric conditions. The suitability of solution is examined by exploring null, strong and dominant energy conditions. It is surmised that the normal matter in the throat may pursue the energy conditions yet the gravitational field exuding from the adjusted gravity hypothesis support the appearance of the non-standard geometries of wormholes.

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Traversable Wormholes with Exponential Shape Function in Modified Gravity and in General Relativity: A Comparative Study

Cited by 14 publications

References 89 publications

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

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

Generalised Ellis-Bronnikov wormholes embedded in warped braneworld background and energy conditions

Traversable wormholes in $f(R,T)$ gravity

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