Evolving Lorentzian wormholes

Kar, Sayan; Sahdev, Deshdeep

doi:10.1103/physrevd.53.722

Cited by 140 publications

(142 citation statements)

References 24 publications

(30 reference statements)

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“…Lorentzian wormholes in spacetimes with more than four dimensions were analyzed by several researchers [22,23]. In particular, wormholes in Einstein-Gauss-Bonnet gravity were considered in Ref.…”

Section: Introductionmentioning

confidence: 99%

Thin-shell wormholes in Einstein–Maxwell theory with a Gauss–Bonnet term

2006

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We study five dimensional thin-shell wormholes in Einstein-Maxwell theory with a GaussBonnet term. The linearized stability under radial perturbations and the amount of exotic matter are analyzed as a function of the parameters of the model. We find that the inclusion of the quadratic correction substantially widens the range of possible stable configurations, and besides it allows for a reduction of the exotic matter required to construct the wormholes.

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Section: Introductionmentioning

confidence: 99%

Thin-shell wormholes in Einstein–Maxwell theory with a Gauss–Bonnet term

2006

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“…In their model, the wormhole initially inflates and later evolves like a FRW spacetime thereby implying our Universe to be an evolving wormhole. Later Anchordoqui et al [26] extended the previous work [25] by choosing the non-zero redshift function and obtained evolving wormhole solutions with nonexotic matter. Arellano & Lobo [27] found contracting wormhole solutions within non-linear electrodynamics.…”

Section: Introductionmentioning

confidence: 99%

“…Kar & Sahdev had shown that if the wormhole spacetime is taken to be evolving (non-static) than the matter threading the wormhole geometry need not to be WEC violating [25]. In their model, the wormhole initially inflates and later evolves like a FRW spacetime thereby implying our Universe to be an evolving wormhole.…”

Section: Introductionmentioning

confidence: 99%

Generalized Second Law of Thermodynamics of Evolving Wormhole with Entropy Corrections

Bandyopadhyay¹,

Debnath²,

Jamil³

et al. 2014

Int J Theor Phys

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In this work, we study the generalized second law of thermodynamics (GSL) at the apparent horizon of an evolving Lorentzian wormhole. We obtain the expressions of thermal variables at the apparent horizon. Choosing the two well-known entropy functions i.e. power-law and logarithmic, we obtain the expressions of GSL. We have analyzed the GSL using a power-law form of scale factor a(t) = a0t n and the special form of shape function b(r) = b 0 r . It is shown that GSL is valid in the evolving wormhole spacetime for both choices of entropies if the power-law exponent is small, but for large values of n, the GSL is satisfied at initial stage and after certain stage of the evolution of the wormhole, it violates.

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“…The advantages and potential of this geometrical approach in finding new solutions in general relativity form the discussion of Section 5. In that section, we show explicitly how this geometrical technique yields the derivation of the metric for an inflationary wormhole with a conformal factor, which was taken to be an ansatz in [3][4][5]. We then conclude this paper in Section 6.…”

Section: Introductionmentioning

confidence: 99%

Curved traversable wormholes in (3+1)-dimensional spacetime

Saw

Chew

2014

Gen Relativ Gravit

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We present the general method of constructing curved traversable wormholes in (3+1)-d spacetime and proceed to thoroughly discuss the physics of a zero tidal force metric without cross-terms.The (3+1)-d solution is compared with the recently studied lower-dimensional counterpart, where we identify that the much richer physics -involving pressures and shear forces of the mass-energy fluid supporting the former -is attributed to the mixing of all three spatial coordinates. Our (3+1)-d universe is the lowest dimension where such nontrivial terms appear. An explicit example, the static zero tidal force (3+1)-d catenary wormhole is analysed and we show the existence of a geodesic through it supported locally by non-exotic matter, similar to the (2+1)-d version. A key difference is that positive mass-energy is used to support the entire (3+1)-d catenary wormhole, though violation of the null energy condition in certain regions is inevitable. This general approach of first constructing the geometry of the spacetime and then using the field equations to determine the physics to support it has the potential to discover new solutions in general relativity or to generalise existing ones. For instance, the metric of a time-evolving inflationary wormhole with a conformal factor can actually be geometrically constructed using our method.

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Evolving Lorentzian wormholes

Cited by 140 publications

References 24 publications

Thin-shell wormholes in Einstein–Maxwell theory with a Gauss–Bonnet term

Thin-shell wormholes in Einstein–Maxwell theory with a Gauss–Bonnet term

Generalized Second Law of Thermodynamics of Evolving Wormhole with Entropy Corrections

Curved traversable wormholes in (3+1)-dimensional spacetime

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