The Representation of Isometric Operators on C (1)(X)

Li, Jingke

doi:10.1007/s11040-010-9080-0

Cited by 10 publications

(19 citation statements)

References 4 publications

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“…(31)]. By choosing some characteristic value of the mass of a dark matter particle, say m = 1 GeV, and taking into account the expressions for the dimensionless variables (8) used here, the corresponding dimensional quantities can be presented in the form …”

Section: Numerical Resultsmentioning

confidence: 99%

“…That is, the structure of the configurations under consideration is in essence independent of the mass of dark matter particles, and the dimensionless solutions obtained enable one to describe objects whose physical characteristics, in dimensional units, can be found by a simple rescaling of the variables by using the appropriate dimensional factors from Eq. (8).…”

Section: Numerical Resultsmentioning

confidence: 99%

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Wormhole solutions supported by interacting dark matter and dark energy

Folomeev

Dzhunushaliev

2014

Phys. Rev. D

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We show that the presence of a nonminimal interaction between dark matter and dark energy may lead to a violation of the null energy condition and to the formation of a configuration with nontrivial topology (a wormhole). In this it is assumed that both dark matter and dark energy satisfy the null energy condition, a violation of which takes place only in the inner high-density regions of the configuration. This is achieved by assuming that, in a high-density environment, a nonminimal coupling function changes its sign in comparison with the case where dark matter and dark energy have relatively low densities which are typical for a cosmological background. For this case, we find regular static, spherically symmetric solutions describing wormholes supported by dark matter nonminimally coupled to dark energy in the form of a quintessence scalar field.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Numerical Resultsmentioning

confidence: 99%

Wormhole solutions supported by interacting dark matter and dark energy

Folomeev

Dzhunushaliev

2014

Phys. Rev. D

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“…Expressions for these second derivatives can be found by inserting (21)- (23) into the static equations (7)- (9). This yields We now turn to the x → ∞ behavior of the potential (17).…”

Section: Discussionmentioning

confidence: 99%

Linear stability of spherically symmetric and wormhole solutions supported by the sine-Gordon ghost scalar field

et al. 2010

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In this paper we investigate wormhole and spherically symmetric solutions in 4D gravity plus a matter source consisting of a ghost scalar field with a sine-Gordon potential. For the wormhole solutions we also include the possibility of electric and/or magnetic charges. For both types of solutions we perform a linear stability analysis and show that the wormhole solutions are stable and that when one turns on the electric and/or magnetic field the solution remains stable. The linear stability analysis of the spherically symmetric solutions indicates that they can be stable or unstable depending on one of the parameters of the system. This result for the spherically symmetric solution is nontrivial since a previous investigation of 4D gravity plus a ghost scalar field with a λφ 4 interaction found only unstable spherically symmetric solutions. Both the wormhole and spherically symmetric solutions presented here asymptotically go to anti-de-Sitter space-time.

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“…28 Using the relation of x = r sin θ cos φ, y = r sin θ sin φ, z = r cos θ in Eq. (54), spherically symmetric FRW-wormholes have been written in Cartesian coordinates as…”

Section: Einstein Landau Lifshitz and Weinberg Energies Of Friedmannmentioning

confidence: 99%

Energy Contents of the Wormholes

Ulu

Türkoğlu

2011

Mod. Phys. Lett. A

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In this study, energy distributions of the various wormholes which connect two different parts of the universe have been investigated. We have obtained the energies of several types of wormholes as the statical wormholes, wormholes with scalar fields, electrical charged wormholes, zero density wormholes, zero radial tides wormholes, conformal wormholes, inflating wormholes, wormhole model in the Friedmann-Robertson-Walker (FRW) cosmology and Visser-Kar-Dadlich (VKD) wormholes using the Einstein, Weinberg and Landau-Lifshitz energy-momentum prescriptions. The Weinberg and Landau-Lifshitz energies of the statical wormholes, wormholes with scalar fields, electrical charged wormholes, zero density wormholes, zero radial tides wormholes or VKDwormholes give the same results. Also, Weinberg, Landau-Lifshitz and Einstein energies of the conformal wormholes, inflating wormholes or wormholes in the FRW-cosmology give the different results.

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The Representation of Isometric Operators on C (1)(X)

Cited by 10 publications

References 4 publications

Wormhole solutions supported by interacting dark matter and dark energy

Wormhole solutions supported by interacting dark matter and dark energy

Linear stability of spherically symmetric and wormhole solutions supported by the sine-Gordon ghost scalar field

Energy Contents of the Wormholes

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