Wormholes in Dilatonic Einstein-Gauss-Bonnet Theory

Kanti, Panagiota; Kleihaus, Burkhard; Kunz, Jutta

doi:10.1103/physrevlett.107.271101

Cited by 284 publications

(345 citation statements)

References 18 publications

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“…Both linearly perturbed solutions and solutions with nonlinear pulse input suffer the bifurcations of horizons and turn to either black hole or expanding throat. In order to obtain a robust wormhole solution for such a disturbance, we may have to work in modified gravity theories, as was recently reported in dilaton-Gauss-Bonnet gravity [25].…”

Section: Conclusion and Discussionmentioning

confidence: 99%

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Wormholes in higher dimensional space-time: Exact solutions and their linear stability analysis

Terauchi

Shinkai

2013

Phys. Rev. D

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We derive the simplest traversable wormhole solutions in n-dimensional general relativity, assuming static and spherically symmetric spacetime with a ghost scalar field. This is the generalization of the Ellis solution (or the so-called Morris-Thorne's traversable wormhole) into a higher-dimension. We also study their stability using linear perturbation analysis. We obtain the master equation for the perturbed gauge-invariant variable and search their eigenvalues. Our analysis shows that all higher-dimensional wormholes have an unstable mode against the perturbations with which the throat radius is changed. The instability is consistent with the earlier numerical analysis in fourdimensional solution.

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Section: Conclusion and Discussionmentioning

confidence: 99%

“…We can find the articles from 1980s [22,23], and the recent studies include higher-curvature terms (see e.g. [24] and [25] and references therein). Most of the research concerns the solutions and their energy conditions mainly, but to our knowledge there is no general discussion on the stability analysis of the solutions.…”

Section: Introductionmentioning

confidence: 99%

Wormholes in higher dimensional space-time: Exact solutions and their linear stability analysis

Terauchi

Shinkai

2013

Phys. Rev. D

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“…We shall focus on static spacetimes in the strict sense which means spacetimes with a Killing vector field ξ which is everywhere timelike. For such spacetimes there exists a smooth 3-dimensional Riemannian manifold (M (3) , g (3) i j ) and a smooth lapse function N :…”

Section: General Definitions and Equationsmentioning

confidence: 99%

“…i and Ric (3) i j are the Levi-Civita connection and the Ricci tensor with respect to the metric g (3) i j . By the maximum principle for harmonic functions and by the asymptotic behavior of N we obtain that the values of N on M (3) obey…”

Section: General Definitions and Equationsmentioning

confidence: 99%

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Uniqueness theorem for static wormholes in Einstein phantom scalar field theory

Yazadjiev

2017

Phys. Rev. D

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In the present paper we prove a uniqueness theorem for the regular static, traversable wormhole solutions to the Einstein-phantom scalar field theory with two asymptotically flat regions (ends). We show that when a certain condition on the asymptotic values of the scalar field is imposed such solutions are uniquely specified by their mass M and the scalar charge D. The main arguments in the proof are based on the positive energy theorem.

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Stability Analysis of Isotropic Spheres in Einstein Gauss–Bonnet Gravity

2022

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This work investigates the effect of electromagnetic field on relativistic compact stellar structures coupled with anisotropic collapsing fluid under the framework of string-motivated Gauss-Bonnet-powered gravity. Using the power-law form of Maxwell-GB corrections, the stellar structure equations dubbed as Tolman-Oppenheimer-Volkoff (TOV) equations are developed. In the presence of a power-law form of f ()-corrections, an evolution equation for the Weyl scalar is obtained, which plays a central role in the investigation of the examined fluid configuration. It is observed that the existence of shear in the fluid flow, irregularities in the distribution of energy density, dissipative fluxes, and modified Gauss-Bonnet corrections are the certain factors that are accountable for generating anisotropies in an originally isotropic fluid distribution. Some of the interesting consequences of formulated results are examined.

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Wormholes in Dilatonic Einstein-Gauss-Bonnet Theory

Cited by 284 publications

References 18 publications

Wormholes in higher dimensional space-time: Exact solutions and their linear stability analysis

Wormholes in higher dimensional space-time: Exact solutions and their linear stability analysis

Uniqueness theorem for static wormholes in Einstein phantom scalar field theory

Stability Analysis of Isotropic Spheres in Einstein Gauss–Bonnet Gravity

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