Evolving wormholes and the weak energy condition

Kar, Sayan

doi:10.1103/physrevd.49.862

Cited by 145 publications

(173 citation statements)

References 9 publications

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“…There are in the literature many works reporting on evolving wormhole solutions to the Einstein field equations, however, a large number of these papers discuss dynamic wormhole solutions with a single fluid source [2,8,18,19]. It is worth to mention here that a general class of higher evolving dimensional wormholes sustained by a single fluid was studied in Ref.…”

Section: Discussionmentioning

confidence: 99%

“…(with anisotropic pressures p r = ω r ρ in and p l = − 1 2 (1 + ω r )ρ in ) and another noninteracting arbitrary homogeneous and isotropic ρ(t), the evolution of the scale factor a(t) is governed by the standard Friedmann equation (20) and the conservation equation (8).…”

Section: Field Equationsmentioning

confidence: 99%

“…However, it is well known that in Einstein gravity there are nonstatic Lorentzian wormholes which do not require WEC violating matter to sustain them. Such wormholes may exist for arbitrarily small or large intervals of time [8].…”

Section: Introductionmentioning

confidence: 99%

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Two-fluid evolving Lorentzian wormholes

Cataldo

Campo

2012

Phys. Rev. D

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We investigate the evolution of a family of wormholes sustained by two matter components: one with homogeneous and isotropic properties ρ(t) and another inhomogeneous and anisotropic ρin(t, r). The rate of expansion of these evolving wormholes is only determined by the isotropic and homogeneous matter component ρ(t). Particularly, we consider a family of exact two-fluid evolving wormholes expanding with constant velocity and satisfying the dominant and the strong energy conditions in the whole spacetime. In general, for the case of vanishing isotropic fluid ρ(t) and cosmological constant Λ the space expands with constant velocity, and for ρ(t) = 0 and Λ = 0 the rate of expansion is determined by the cosmological constant. The considered here two-fluid evolving wormholes are a generalization of single fluid models discussed in previous works of the present authors [Phys. Rev. D 78, 104006 (2008)

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Section: Discussionmentioning

confidence: 99%

Section: Field Equationsmentioning

confidence: 99%

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Two-fluid evolving Lorentzian wormholes

Cataldo

Campo

2012

Phys. Rev. D

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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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“…violating the energy conditions (null, weak and strong), however it has been shown that averaged null energy condition is satisfied in wormhole geometries [19][20][21]. Also the violation of weak energy condition (WEC) can be avoided for small intervals of time [22]. More recently traversable wormhole and time machine solutions of the field equations of an alternative of gravity with non-minimally curvature-matter coupling have been obtained [23].…”

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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Evolving wormholes and the weak energy condition

Cited by 145 publications

References 9 publications

Two-fluid evolving Lorentzian wormholes

Two-fluid evolving Lorentzian wormholes

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

Generalized Second Law of Thermodynamics of Evolving Wormhole with Entropy Corrections

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