Wormhole geometries inf(R)modified theories of gravity

2009/09/30 by Francisco S. N. Lobo, Miguel A. Oliveira · 2 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #astro-ph.HE #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.80.104012

published as Phys.Rev.D80:104012,2009 · 9 pages, 4 figures. V2: References and discussion on Brans-Dicke wormholes added, to appear in Phys.Rev.D

arxiv created 2009/10/20 · openalex publication_date 2009/11/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

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 nonstandard 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.

Citations

• Newtonian limit off(R)gravity
• Low surface brightness galaxy rotation curves in the low energy limit of Rn gravity: no need for dark matter?
• Newton law corrections and instabilities in f(R) gravity with the effective cosmological constant epoch
• Conditions for the cosmological viability off(R)dark energy models
• Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativity
• Constrainingf(R)gravity as a scalar-tensor theory
• Phantom stars and topology change
• Stability of modified gravity models
• Evolution of density perturbations inf(R)gravity
• General class of wormhole geometries in conformal Weyl gravity
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• The generalized virial theorem inf(R) gravity
• Phantom crossing, equation-of-state singularities, and local gravity constraints in f(R) models
• Solar system testsdorule out1/Rgravity
• Static spherically symmetric perfect fluid solutions inf(R)theories of gravity
• Is cosmic speed-up due to new gravitational physics?
• Wormhole geometries with conformal motions

Cited by

• Time-Dependent Wormhole Solutions of f(R) Theory of Gravity and Energy Conditions
• Modified-gravity wormholes without exotic matter