Wormhole geometries supported by a nonminimal curvature-matter coupling
arXiv:1007.3040 · doi:10.1103/PhysRevD.82.104018
Abstract
Wormhole geometries in curvature-matter coupled modified gravity are explored, by considering an explicit nonminimal coupling between an arbitrary function of the scalar curvature, R, and the Lagrangian density of matter. It is the effective stress-energy tensor containing the coupling between matter and the higher order curvature derivatives that is responsible for the null energy condition violation, and consequently for supporting the respective wormhole geometries. The general restrictions imposed by the null energy condition violation are presented in the presence of a nonminimal R-matter coupling. Furthermore, obtaining exact solutions to the gravitational field equations is extremely difficult due to the nonlinearity of the equations, although the problem is mathematically well-defined. Thus, we outline several approaches for finding wormhole solutions, and deduce an exact solution by considering a linear R nonmiminal curvature-matter coupling and by considering an explicit monotonically decreasing function for the energy density. Although it is difficult to find exact solutions of matter threading the wormhole satisfying the energy conditions at the throat, an exact solution is found where the nonminimal coupling does indeed minimize the violation of the null energy condition of normal matter at the throat.
8 pages, 3 figures. V2: 9 pages, error and typos corrected; discussion and references added; to appear in PRD
References in corpus (37)
- Dynamics of dark energy
- Extra force in modified theories of gravity
- Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
- Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
- Conditions for the cosmological viability of f(R) dark energy models
- Wormhole geometries in f(R) modified theories of gravity
- Low surface brightness galaxies rotation curves in the low energy limit of gravity : no need for dark matter?
- Dark Energy-Dark Matter Interaction and putative violation of the Equivalence Principle from the Abell Cluster A586
- Nonminimal coupling of perfect fluids to curvature
- Modified gravity with arbitrary coupling between matter and geometry
- Dark energy and dark matter as curvature effects
- Dark matter as a geometric effect in f(R) gravity
- Thin accretion disks in stationary axisymmetric wormhole spacetimes
- Analysis of Rotation Curves in the framework of R^n gravity
- Static wormhole solution for higher-dimensional gravity in vacuum
- The matter Lagrangian and the energy-momentum tensor in modified gravity with non-minimal coupling between matter and geometry
- Plane symmetric thin-shell wormholes: solutions and stability
- A viability criterion for modified gravity with an extra force
- Static and symmetric wormholes respecting energy conditions in Einstein-Gauss-Bonnet gravity
- Electromagnetic signatures of thin accretion disks in wormhole geometries
- Brans-Dicke wormholes in the Jordan and Einstein frames
- A general class of braneworld wormholes
- Do f(R) theories matter?
- General class of wormhole geometries in conformal Weyl gravity
- Generalized virial theorem in f(R) gravity
- Brans wormholes
- On the non-minimal gravitational coupling to matter
- Galactic rotation curves in modified gravity with non-minimal coupling between matter and geometry
- Dark matter and dark energy as a effects of Modified Gravity
- Self sustained phantom wormholes in semi-classical gravity
- Phantom stars and topology change
- Conformally symmetric traversable wormholes
- Self-sustained traversable wormholes in noncommutative geometry
- Van der Waals quintessence stars
- Wormhole geometries with conformal motions
- The cosmological constant and dark energy in braneworlds
- Motion of test bodies in theories with nonminimal coupling