Wormhole geometries in f(R) modified theories of gravity

Abstract

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.

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

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• Wormholes in viable $f(R)$ modified theories of gravity and Weak Energy Condition
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• Non violation of energy conditions in wormholes modelling
• Wormholes minimally violating the null energy condition
• Exact wormhole solutions with nonminimal kinetic coupling
• Boson Stars with Nontrivial Topology
• Dynamic wormhole solutions in Einstein-Cartan gravity
• Wormholes and solitonic shells in five-dimensional DGP theory
• Asymptotically flat wormhole solutions with variable equation-of-state parameter
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• Propagating degrees of freedom in f(R) gravity
• Rotating black strings in $f(R)$-Maxwell theory
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• Modified Theories of Gravity: Traversable Wormholes
• Unified first law for traversable wormholes in non-minimal coupling of curvature and matter
• A note on the cosmological constant in f(R) gravity
• A family of braneworld wormholes