Wormhole solutions in f ( T ) gravity with noncommutative geometry

Wormhole solutions in f ( T ) gravity with noncommutative geometry The objective of this paper is to study static spherically symmetric noncommutative wormhole solutions in the framework of f ( T ) gravity. We construct f ( T ) field equations in covariant and effective energy-momentum tensor forms to make a correspondence with general relativity. It is observed that the violation of energy conditions to support the nonstandard wormhole is due to the effective energy-momentum tensor. We explore the noncommutative wormhole solutions for two cases: (i) assume a viable power-law f ( T ) model to construct the shape function and (ii) a particular shape function is taken to construct the f ( T ) model. In the first case, only exotic matter forms a wormhole structure in teleparallel gravity, whereas for f ( T ) gravity, normal matter threads these structures except for a particular range of r . For the constructed f ( T ) model, there does not exist a physically acceptable wormhole solution similar to the teleparallel case. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Wormhole solutions in f ( T ) gravity with noncommutative geometry

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Publisher
American Physical Society (APS)
Copyright
Copyright © 2013 The American Physical Society
ISSN
1550-2368
D.O.I.
10.1103/PhysRevD.88.123501
Publisher site
See Article on Publisher Site

Abstract

The objective of this paper is to study static spherically symmetric noncommutative wormhole solutions in the framework of f ( T ) gravity. We construct f ( T ) field equations in covariant and effective energy-momentum tensor forms to make a correspondence with general relativity. It is observed that the violation of energy conditions to support the nonstandard wormhole is due to the effective energy-momentum tensor. We explore the noncommutative wormhole solutions for two cases: (i) assume a viable power-law f ( T ) model to construct the shape function and (ii) a particular shape function is taken to construct the f ( T ) model. In the first case, only exotic matter forms a wormhole structure in teleparallel gravity, whereas for f ( T ) gravity, normal matter threads these structures except for a particular range of r . For the constructed f ( T ) model, there does not exist a physically acceptable wormhole solution similar to the teleparallel case.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Dec 15, 2013

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