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

Mishra, Ambuj Kumar; Sharma, Umesh Kumar; Dubey, Vipin Chandra; Pradhan, Anirudh

doi:10.1007/s10509-020-3743-5

Cited by 45 publications

(14 citation statements)

References 116 publications

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“…In this respect, Mishra et al [62] analyzed the nature of SEC and WEC in the context of f(R, T) � R + ΛT gravity with two different types of shape functions. For suitable choices of free parameters, they obtained wormhole solutions for which both NEC and SEC are valid, while DEC is also compatible in terms of p l and only DEC is violated for radial pressure p r in both the models.…”

Section: Variations Of α and Cmentioning

confidence: 99%

Traversable Wormholes Existence in $f (R, T)$ Gravity Involving Trace-Squared Term with Nonexotic Matter

Zubair

Muneer

Waheed

2021

Advances in Astronomy

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In Einstein’s relativity theory, the existence of traversable wormholes requires the involvement of exotic matter which violates the null energy condition (NEC). Our aim, in this article, is to construct wormhole solutions with the nonexotic matter. To achieve this, we choose an interesting gravitational framework of f ℛ , T theory which contains a quadratic term of energy-momentum tensor T i j trace and a well-known Starobinsky f ℛ model in its extended form. We analyze the behavior of energy constraints in the framework of f ℛ , T = ℛ + α ℛ 2 + γ ℛ n + λ T 2 (where α , γ , and λ are some random constants) model for the well-proposed shape function S r = r 0 r 0 / r ε (where ε is a constant and r 0 is the wormhole throat). A detailed analysis of validity regions is presented for some choices of coupling parameters along with the free parameter of EoS β , m . It is shown that, under this model, the existence of viable wormhole geometry is possible without requiring any exotic matter.

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Section: Variations Of α and Cmentioning

confidence: 99%

Traversable Wormholes Existence in $f (R, T)$ Gravity Involving Trace-Squared Term with Nonexotic Matter

Zubair

Muneer

Waheed

2021

Advances in Astronomy

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“…Here we have taken the logarithmic shape function b(r) = r 0 ln(r+1) ln(r 0 +1) , where r 0 represent the throat radius [87,88]. Further redshift function φ(r) should be finite and non-zero to avoid the existence of horizons.…”

Section: Solution Of the Wormhole Modelmentioning

confidence: 99%

Non-exotic wormholes in 4-D Einstein-Gauss-Bonnet gravity

Mishra¹,

Shweta²,

Sharma³

2021

Preprint

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In the present paper, we investigate wormholes in 4D-Einstein-Gauss-Bonnet gravity without the requirement of exotic matters. We have taken the radial dependent redshift function φ = ln r 0 r + 1 and shape function b(r) = r 0 ln(r+1) ln(r 0 +1) as well as anisotropic matter sources through equation of state (EoS) p r (r) = ωρ(r). We examine the energy conditions, flaring out condition, throat condition and anisotropic parameter. The volume integral quantifier is also analyzed to validate the existence and stability of the WH solution. We find, for -ve branch wormhole solutions satisfy the null energy conditions (NEC) throughout the entire space time and +ve branch reduces exactly to Morris-Thorne of GR.

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“…A scalar field supporting the traversable wormhole was introduced by L.Butcher [20] and a few years ago Lobo, Quinet and Oliveira discovered the deSitter MTWH [21]. Traversable wormholes have also been studied in alternative theories of gravitation such as f (R) and f (R, T ) gravity [22][23][24][25][26][27][28][29][30][31][32][33][34] and in analogue gravity [38]. There are works on traversable wormholes in cosmology [36,37], astrophysics [43], thermodynamics [39,40,42] and their shadows were also computed [35].…”

Section: Introductionmentioning

confidence: 99%

The shadow of charged traversable wormholes

Neto

Pérez

Pelle

2023

Int. J. Mod. Phys. D

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We compute the shadow cast by a charged Morris-Thorne wormhole when the light source is a star located beyond the mouth which is opposite to the observer. First, we provide an extensive analysis of the geodesic properties of the spacetime, both for null and massive particles. The geometrical properties of this solution are such that independently of the viewing angle, some light rays always reach the observer. Additionally, the structure of the images is preserved among the different values of the charge and scales proportionally to the charge value.

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

Cited by 45 publications

References 116 publications

Traversable Wormholes Existence in $f (R, T)$ Gravity Involving Trace-Squared Term with Nonexotic Matter

Traversable Wormholes Existence in $f (R, T)$ Gravity Involving Trace-Squared Term with Nonexotic Matter

Non-exotic wormholes in 4-D Einstein-Gauss-Bonnet gravity

The shadow of charged traversable wormholes

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

Cited by 45 publications

References 116 publications

Traversable Wormholes Existence in f R , T Gravity Involving Trace-Squared Term with Nonexotic Matter

Traversable Wormholes Existence in f R , T Gravity Involving Trace-Squared Term with Nonexotic Matter

Non-exotic wormholes in 4-D Einstein-Gauss-Bonnet gravity

The shadow of charged traversable wormholes

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Product

Resources

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Traversable Wormholes Existence in $f (R, T)$ Gravity Involving Trace-Squared Term with Nonexotic Matter

Traversable Wormholes Existence in $f (R, T)$ Gravity Involving Trace-Squared Term with Nonexotic Matter