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Einstein-Gauss-Bonnet traversable wormholes satisfying the weak energy condition

Mohammad Reza Mehdizadeh
(
- RIAAM, Maragha and
- Shahid-Bahonar U.
)
,
Mahdi Kord Zangeneh
(
- Biruni Observ. and
- Shiraz U.
)
,
Francisco S. N. Lobo
(
- Lisbon U. and
- Lisbon U., CAAUL
)

Jan 20, 2015

8 pages

Published in:

Phys.Rev.D 91 (2015) 8, 084004

Published: Apr 2, 2015

e-Print:

1501.04773 [gr-qc]

DOI:

10.1103/PhysRevD.91.084004

View in:

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Abstract: (APS)

In this paper, we explore higher-dimensional asymptotically flat wormhole geometries in the framework of Gauss-Bonnet (GB) gravity and investigate the effects of the GB term, by considering a specific radial-dependent redshift function and by imposing a particular equation of state. This work is motivated by previous assumptions that wormhole solutions were not possible for the k=1 and α<0 case, where k is the sectional curvature of an (n-2)-dimensional maximally symmetric space, and α is the Gauss-Bonnet coupling constant. However, we emphasize that this discussion is purely based on a nontrivial assumption that is only valid at the wormhole throat, and cannot be extended to the entire radial-coordinate range. In this work, we provide a counterexample to this claim, and find for the first time specific solutions that satisfy the weak energy condition throughout the entire spacetime, for k=1 and α<0. In addition to this, we also present other wormhole solutions which alleviate the violation of the weak energy condition in the vicinity of the wormhole throat.

Note:

8 pages, 6 figures. V2: 9 pages, minor modifications, references added and typo corrected; to appear in PRD

04.20.Jb
04.50.-h
04.50.Kd
wormhole: throat
wormhole: traversable
weak-energy condition
higher-dimensional
coupling constant
equation of state
Gauss-Bonnet term

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