Classical tests of general relativity in brane world models
arXiv:0910.3800 · doi:10.1088/0264-9381/27/18/185013
Abstract
The classical tests of general relativity (perihelion precession, deflection of light, and the radar echo delay) are considered for several spherically symmetric static vacuum solutions in brane world models. Generally, the spherically symmetric vacuum solutions of the brane gravitational field equations have properties quite distinct as compared to the standard black hole solutions of general relativity. As a first step a general formalism that facilitates the analysis of general relativistic Solar System tests for any given spherically symmetric metric is developed. It is shown that the existing observational Solar System data on the perihelion shift of Mercury, on the light bending around the Sun (obtained using long-baseline radio interferometry), and ranging to Mars using the Viking lander, constrain the numerical values of the parameters of the specific models.
13 pages. V2: 14 pages, minor changes; to appear in Class. Quant. Grav
References in corpus (85)
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- The Einstein Equations on the 3-Brane World
- Non-conventional cosmology from a brane-universe
- Gravitational lensing in the strong field limit
- Black holes on the brane
- Cosmological dynamics on the brane
- Stars in the braneworld
- Dark matter as a geometric effect in f(R) gravity
- Gravity, Stability and Energy Conservation on the Randall-Sundrum Brane-World
- Formalism for Testing Theories of Gravity Using Lensing by Compact Objects. I: Static, Spherically Symmetric Case
- New black holes in the brane-world?
- Charged Rotating Black Holes on a 3-Brane
- Strong gravitational lensing by braneworld black holes
- Can the galactic rotation curves be explained in brane world models?
- Charged Particle Motion Around Rotating Black Hole in Braneworld Immersed in Magnetic Field
- Gravitational collapse on the brane: a no-go theorem
- Evolution of Cosmological Models in the Brane-world Scenario
- A general class of braneworld wormholes
- Braneworld black holes in cosmology and astrophysics
- Generalized virial theorem in f(R) gravity
- Braneworld black hole gravitational lens: Strong field limit analysis
- Small localized black holes in a braneworld: Formulation and numerical method
- On a general class of brane-world black holes
- Analytic solutions of the geodesic equation in higher dimensional static spherically symmetric space-times
- Evolution of cosmological perturbations in a brane-universe
- Thin accretion disks onto brane world black holes
- Bulk effects in the cosmological dynamics of brane-world scenarios
- Bulk shape of brane-world black holes
- The virial theorem and the dynamics of clusters of galaxies in the brane world models
- Vacuum solutions of the gravitational field equations in the brane world model
- Late acceleration and crossing in induced gravity
- Collapsing sphere on the brane radiates
- Formalism for testing theories of gravity using lensing by compact objects. II: Probing Post-Post-Newtonian metrics
- Kaluza-Klein anisotropy in the CMB
- Brane-world cosmology with black strings
- Quasiperiodic oscillations in a strong gravitational field around neutron stars testing braneworld models
- Formalism for testing theories of gravity using lensing by compact objects. III: Braneworld gravity
- Lookback time as a test for brane cosmology
- Gravitational collapse of null fluid on the brane
- Solar System Tests of Higher-Dimensional Gravity
- Strong Brane Gravity and the Radion at Low Energies
- On-brane data for braneworld stars
- Galactic metric, dark radiation, dark pressure and gravitational lensing in brane world models
- Exact anisotropic brane cosmologies
- Viscous Bianchi type I universes in brane cosmology
- Friedmann branes with variable tension
- Anisotropy in Bianchi-type brane cosmologies
- Isotropy and Stability of the Brane
- Galactic dark matter as a bulk effect on the brane
- Chaplygin gas dominated anisotropic brane world cosmological models
- Solar system tests of brane world models
- Gravitational collapse and black hole evolution: do holographic black holes eventually "anti-evaporate"?
- Braneworld dynamics in Einstein-Gauss-Bonnet gravity
- Anisotropic brane gravity with a confining potential
- Rotational Perturbations of Friedmann-Robertson-Walker Type Brane-World Cosmological Models
- Viscous dissipative effects in isotropic brane cosmology
- Non-singular black-holes on the brane
- Black holes and dark energy from gravitational collapse on the brane
- Spherically symmetric problem on the brane and galactic rotation curves
- Conformally symmetric vacuum solutions of the gravitational field equations in the brane-world models
- Gravitational Waves from Sub-lunar Mass Primordial Black Hole Binaries - A New Probe of Extradimensions
- Gravitational lensing in braneworld gravity: formalism and applications
- Gravitational collapse in braneworld models with curvature corrections
- Braneworld gravitational collapse from a radiative bulk
- Virasoro operators in the continuous basis of string field theory
- Two-field Kähler moduli inflation on large volume moduli stabilization
- Modified brane cosmologies with induced gravity, arbitrary matter content and a Gauss-Bonnet term in the bulk
- Eötvös branes
- Gravitational dynamics in s+1+1 dimensions II. Hamiltonian theory
- Simple Dynamics on the Brane
- Quark-Hadron Phase Transitions in Brane-World Cosmologies
- Dimensional Dependence of Black Hole Formation in Self-Similar Collapse of Scalar Field
- Dark Radiation Dynamics on the Brane
- Second-order light deflection by tidal charged black holes on the brane
- The luminosity-redshift relation in brane-worlds: I. Analytical results
- Gravitational dynamics in s+1+1 dimensions
- Anti-D-brane as Dark Matter in Warped String Compactification
- The luminosity-redshift relation in brane-worlds: II. Confrontation with experimental data
- Gravitational collapse due to dark matter and dark energy in the brane world scenario
- Rotational Perturbations of High Density Matter in the Brane Cosmology
- Dynamics of massive matter disappearance on the brane
- Reheating the Universe in Braneworld Cosmological Models with bulk-brane energy transfer
- Time delay of photons of different energies in multi-dimensional cosmological models
- Is there any evidence for extra-dimensions or quantum gravity effects from the delayed MeV-GeV photons in GRB 940217?
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- Gravitational lensing by a regular black hole
- Solar system tests of Hořava-Lifshitz gravity
- Null fluid collapse in brane world models
- Wormhole supported by dark energy admitting conformal motion
- Mass dimension one fermions: Constructing darkness
- String loops in the field of braneworld spherically symmetric black holes and naked sigularities
- Stable and self consistent charged gravastar model within the framework of gravity
- Solar System constraints on local dark matter density
- Photon and neutrino redshift in the field of braneworld compact stars
- Constraints on Covariant Horava-Lifshitz Gravity from frame-dragging experiment
- Stellar stability in brane-worlds revisited
- GUP black hole remnants in quadratic gravity
- Regular Bulk Solutions and Black Strings from Dynamical Braneworlds with Variable Tension
- Neutrino trapping in braneworld extremely compact stars
- Electromagnetic Fields of Slowly Rotating Compact Magnetized Stars in Braneworld
- Non-monotonic Keplerian velocity profiles around near-extreme braneworld Kerr black holes
- Classic tests of General Relativity described by brane-based spherically symmetric solutions
- Compact stars in the Einstein dark energy model
- Solar system tests in constraining parameters of dyon black holes
- Classical tests of General Relativity in thick branes
- Classical Tests of General Relativity: Probing Topologically Charged Black Holes on Brane Worlds in f(R) Bulk
- The variation of G in a negatively curved space-time
- Gravity and its wonders: braneworlds and holography