Scalar geons in Born-Infeld gravity
arXiv:1705.01065 · doi:10.1088/1475-7516/2017/08/031
Abstract
The existence of static, spherically symmetric, self-gravitating scalar field solutions in the context of Born-Infeld gravity is explored. Upon a combination of analytical approximations and numerical methods, the equations for a free scalar field (without a potential term) are solved, verifying that the solutions recover the predictions of General Relativity far from the center but finding important new effects in the central regions. We find two classes of objects depending on the ratio between the Schwarzschild radius and a length scale associated to the Born-Infeld theory: massive solutions have a wormhole structure, with their throat at , while for the lighter configurations the topology is Euclidean. The total energy density of these solutions exhibits a solitonic profile with a maximum peaked away from the center, and located at the throat whenever a wormhole exists. The geodesic structure and curvature invariants are analyzed for the various configurations considered.
19 pages (double column), 21 figures. Typos corrected, references updated. An appendix has been added. Version accepted for publication in JCAP
References in corpus (33)
- Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
- Echoes of ECOs: gravitational-wave signatures of exotic compact objects and of quantum corrections at the horizon scale
- Superradiant Instability and Backreaction of Massive Vector Fields around Kerr Black Holes
- The 1965 Penrose singularity theorem
- Warp drive basics
- Kerr-Newman scalar clouds
- Global topological k-defects
- Massive Primordial Black Holes as Dark Matter and their detection with Gravitational Waves
- Bouncing Eddington-inspired Born-Infeld cosmologies: an alternative to Inflation ?
- A BPS Skyrme model and baryons at large Nc
- Lorentzian wormholes in Eddington-inspired Born-Infeld gravity
- An Alternative to Particle Dark Matter
- Iron K line of Kerr black holes with scalar hair
- Gravitational echoes from macroscopic quantum gravity effects
- What is a singular black hole beyond General Relativity?
- Born-Infeld gravity and its functional extensions
- Hedgehog ansatz and its generalization for self-gravitating Skyrmions
- Eddington-Born-Infeld gravity and the large scale structure of the Universe
- Kerr-Newman black holes with scalar hair
- Black holes and solitons in an extended Proca theory
- Compactlike kinks and vortices in generalized models
- Eddington-Born-Infeld cosmology: a cosmographic approach, a tale of doomsdays and the fate of bound structures
- Charged massive scalar field configurations supported by a spherically symmetric charged reflecting shell
- Cosmological singularities in Born-Infeld determinantal gravity
- Gravitational geons in asymptotically anti-de Sitter spacetimes
- Stability of the Einstein static universe in Eddington-inspired Born-Infeld theory
- Localized D-dimensional global k-defects
- Split Q-Balls
- Quasistationary solutions of scalar fields around collapsing self-interacting boson stars
- Nonsingular black holes in Palatini extensions of General Relativity
- Analytical self-dual solutions in a nonstandard Yang-Mills-Higgs scenario
- Born-Infeld gravity with a Brans-Dicke scalar
- Charged black holes in a generalized scalar-tensor gravity model
Cited by in corpus (18)
- Testing the nature of dark compact objects: a status report
- Born-Infeld inspired modifications of gravity
- Mapping Ricci-based theories of gravity into general relativity
- Metric-affine f(R,T) theories of gravity and their applications
- A correspondence between modified gravity and General Relativity with scalar fields
- New scalar compact objects in Ricci-based gravity theories
- Strong gravitational lensing in a spacetime with topological charge within the Eddington-inspired Born-Infeld gravity
- Overcharging black holes and cosmic censorship in Eddington-inspired Born-Infeld gravity
- Multicenter solutions in Eddington-inspired Born-Infeld gravity
- Kinks and branes in models with hyperbolic interactions
- Quintessential Inflation with Dynamical Higgs Generation as an Affine Gravity
- Scalar perturbations of Eddington-inspired Born-Infeld braneworld
- Compact objects in quadratic Palatini gravity generated by a free scalar field
- From fundamental physics to tests with compact objects in metric-affine theories of gravity
- Echoes from bounded universes
- Palatini gravity and its Born-Infeld semblance
- Compact scalar field solutions in EiBI gravity
- A Born-Infeld Scalar and a Dynamical Violation of the Scale Invariance from the Modified Measure Action