Wormhole geometries in f(R) modified theories of gravity

Details Wormhole geometries in f(R) modified theories of gravity Wormhole geometries in f(R) modified theories of gravity

2009-09-30

arxiv.org/abs/0909.5539v2

Phys.Rev.D80:104012,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 4 figures. V2: References and discussion on Brans-Dicke wormholes added, to appear in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.80.104012

In this work, we construct traversable wormhole geometries in the context of f(R) modified theories of gravity. We impose that the matter threading the wormhole satisfies the energy conditions, so that it is the effective stress-energy tensor containing higher order curvature derivatives that is responsible for the null energy condition violation. Thus, the higher order curvature terms, interpreted as a gravitational fluid, sustain these non-standard wormhole geometries, fundamentally different from their counterparts in general relativity. In particular, by considering specific shape functions and several equations of state, exact solutions for f(R) are found.

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