Wormhole throats in gravity
arXiv:gr-qc/0410088 · doi:10.1088/0264-9381/22/2/005
Abstract
We consider wormhole geometries subject to a gravitational action consisting of non-linear powers of the Ricci scalar. Specifically, wormhole throats are studied in the case where Einstein gravity is supplemented with a Ricci-squared and inverse Ricci term. In this modified theory it is found that static wormhole throats respecting the weak energy condition can exist. The analysis is done locally in the vicinity of the throat, which eliminates certain restrictions on the models introduced by considering the global topology.
12 pages, 3 figures. Update includes more references and clarification that "zero tidal force" class of models are considered. Accepted for publication in Classical and Quantum Gravity
References in corpus (24)
- Is Cosmic Speed-Up Due to New Gravitational Physics?
- Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
- Can modified gravity explain accelerated cosmic expansion?
- 1/R gravity and Scalar-Tensor Gravity
- Where new gravitational physics comes from: M-theory?
- Morris-Thorne wormholes with a cosmological constant
- Geometric structure of the generic static traversable wormhole throat
- 1/R Curvature Corrections as the Source of the Cosmological Acceleration
- The conformal frame freedom in theories of gravitation
- Rotating traversable wormholes
- Accelerated Cosmological Models in Ricci squared Gravity
- Inflating Lorentzian Wormholes
- Cosmological Evolution in 1/R-Gravity Theory
- Surface stresses on a thin shell surrounding a traversable wormhole
- Quantifying energy condition violations in traversable wormholes
- On the Newtonian Limit in Gravity Models with Inverse Powers of R
- Newtonian limit of the singular f(R) gravity in the Palatini formalism
- Axially symmetric rotating traversable wormholes
- Higher Dimensional Wormhole Geometries with Compact Dimensions
- Traversable Wormholes in (2+1) and (3+1) Dimensions with a Cosmological Constant
- On a General Class of Wormhole Geometries
- Stress-energy of a quantized scalar field in static wormhole spacetimes
- Rotating vacuum wormhole
- General solutions of Einstein's spherically symmetric gravitational equations with junction conditions
Cited by in corpus (51)
- Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
- Phantom energy traversable wormholes
- Stable Lorentzian Wormholes in Dilatonic Einstein-Gauss-Bonnet Theory
- Static spherically symmetric solutions in mimetic gravity: rotation curves & wormholes
- Static and symmetric wormholes respecting energy conditions in Einstein-Gauss-Bonnet gravity
- Traversable Wormholes and Energy Conditions with Two Different Shape Functions in Gravity
- Notes on wormhole existence in scalar-tensor and F(R) gravity
- On Wormhole Throats in Gravity Theory
- Phantom stars and topology change
- Cosmological wormholes in theories of gravity
- Exotica ex nihilo: Traversable wormholes & non-singular black holes from the vacuum of quadratic gravity
- Geometry of Spinning Ellis Wormholes
- gravity solutions for evolving wormholes
- Quasi-cosmological Traversable Wormholes in Gravity
- Cylindrical Thin-shell Wormholes in gravity
- Necessary conditions for having wormholes in f(R) gravity
- Wormhole Geometry and Noether Symmetry in f(R) Gravity
- Charged Wormhole Solutions in Einstein-Cartan gravity
- Boson Stars with Nontrivial Topology
- Geodesic motion around traversable wormholes supported by a massless conformally-coupled scalar field
- Searching for dynamical black holes in various theories of gravity
- Ellis Wormholes in Anti-De Sitter Space
- R^n gravity and the chameleon
- Wormholes in Einstein-scalar-Gauss-Bonnet theories with a scalar self-interaction potential
- Wormhole formation in massive gravity: An analytic description
- Symmetric and Asymmetric Wormholes Immersed In Rotating Matter
- Spontaneous Symmetry Breaking in Wormholes Spacetimes with Matter
- Wormholes Immersed in Rotating Matter
- Possible formation of wormholes from dark matter in an isothermal galactic halo and void
- Non-commutative Wormholes in Gravity satisfying the Energy Conditions
- Deflection of light by wormholes and its shadow due to dark matter within modified symmetric teleparallel gravity formalism
- Simple analytic model of wormhole formation
- Wormholes Threaded by Chiral Fields
- Hairy Wormholes and Bartnik-McKinnon Solutions
- Existence of Static Wormholes in Gravity
- Looking for empty topological wormhole spacetimes in -modified gravity
- 1/R multidimensional gravity with form-fields: stabilization of extra dimensions, cosmic acceleration and domain walls
- Anisotropic Structures and Wormholes with Loop Quantum Gravity Holonomy Corrections
- Shadows and photon spheres in static and rotating traversable wormholes
- Novel Casimir wormholes in Einstein gravity
- Conservative wormholes in generalized -function
- On a New Approach for Constructing Wormholes in Einstein-Born-Infeld Gravity
- Wormhole solutions in generalized Rastall gravity
- Particle motion around traversable wormholes: Possibility of closed timelike geodesics
- Evolving wormhole formation in dRGT massive gravity
- Geodesics in Generalised Ellis-Bronnikov Spacetime Embedded in Warped 5D Background
- Casimir Wormholes in Brans-Dicke Theory
- Traversable wormholes in gravity sourced by a cloud of strings
- Energy conditions for a wormhole at the center
- Rotating wormholes in Einstein-Dirac-Maxwell theory
- Trace anomaly contributions to semi-classical wormhole geometries