The recovery of General Relativity in massive gravity via the Vainshtein mechanism
arXiv:1007.4506 · doi:10.1103/PhysRevD.82.104008
Abstract
We study in detail static spherically symmetric solutions of non linear Pauli-Fierz theory. We obtain a numerical solution with a constant density source. This solution shows a recovery of the corresponding solution of General Relativity via the Vainshtein mechanism. This result has already been presented by us in a recent letter, and we give here more detailed information on it as well as on the procedure used to obtain it. We give new analytic insights upon this problem, in particular for what concerns the question of the number of solutions at infinity. We also present a weak field limit which allows to capture all the salient features of the numerical solution, including the Vainshtein crossover and the Yukawa decay.
arXiv comment38 pages, 9 Figs, revtex4
References in corpus (40)
- 4D Gravity on a Brane in 5D Minkowski Space
- Quantum Gravity at a Lifshitz Point
- The galileon as a local modification of gravity
- Covariant Galileon
- Accelerated Universe from Gravity Leaking to Extra Dimensions
- Cosmology on a Brane in Minkowski Bulk
- Effective Field Theory for Massive Gravitons and Gravity in Theory Space
- Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
- Infrared-modified gravities and massive gravitons
- Ghosts in Massive Gravity
- k-Mouflage gravity
- Degravitation of the Cosmological Constant and Graviton Width
- More on ghosts in DGP model
- DGP Specteroscopy
- Effective Lagrangians and Universality Classes of Nonlinear Bigravity
- Cascading DGP
- Are there ghosts in the self-accelerating brane universe?
- Cascading Gravity and Degravitation
- Ghosts, Strong Coupling and Accidental Symmetries in Massive Gravity
- Recovering General Relativity from massive gravity
- Non-linear bigravity and cosmic acceleration
- Spherically symmetric spacetimes in massive gravity
- Spontaneous Lorentz Breaking and Massive Gravity
- Caustic avoidance in Horava-Lifshitz gravity
- Higgs for Graviton: Simple and Elegant Solution
- General Relativity With An Auxiliary Dimension
- A New Perspective on DGP Gravity
- Massive gravity from Dirichlet boundary conditions
- The Vainshtein mechanism in the Decoupling Limit of massive gravity
- Exact Spherically Symmetric Solutions in Massive Gravity
- Flat 3-Brane with Tension in Cascading Gravity
- Perturbations of Self-Accelerated Universe
- Bigravity and Lorentz-violating Massive Gravity
- Global structure of bigravity solutions
- Cascading Cosmology
- Cascading Gravity is Ghost Free
- Infrared Modification of Gravity
- Bubbles in the Self-Accelerating Universe
- Self-accelerating solutions in the cascading DGP braneworld
- No de Sitter invariant vacuum in massive gravity theory with ghost
Cited by in corpus (112)
- Testing General Relativity with Present and Future Astrophysical Observations
- Beyond the Cosmological Standard Model
- Massive Gravity
- From k-essence to generalised Galileons
- Theoretical Aspects of Massive Gravity
- Cosmological Tests of Modified Gravity
- Imperfect Dark Energy from Kinetic Gravity Braiding
- An introduction to the Vainshtein mechanism
- Testing General Relativity with Low-Frequency, Space-Based Gravitational-Wave Detectors
- Testing General Relativity with stellar orbits around the supermassive black hole in our Galactic center
- Analytic solutions in non-linear massive gravity
- Strong interactions and exact solutions in non-linear massive gravity
- Dark energy in Horndeski theories after GW170817: A review
- Graviton Mass Bounds
- Cosmic Acceleration and the Helicity-0 Graviton
- Generalized Galileon cosmology
- A formal introduction to Horndeski and Galileon theories and their generalizations
- Inflation and primordial non-Gaussianities of "generalized Galileons"
- Instability of black holes in massive gravity
- Cosmological perturbations in Massive Gravity and the Higuchi bound
- Non-Renormalization and Naturalness in a Class of Scalar-Tensor Theories
- Heavy spin-2 Dark Matter
- Hairy black holes in the ghost-free bigravity theory
- Improving relativistic MOND with Galileon k-mouflage
- Constraints on Shift-Symmetric Scalar-Tensor Theories with a Vainshtein Mechanism from Bounds on the Time Variation of G
- Vainshtein Mechanism in Binary Pulsars
- New perspective for black hole thermodynamics in Gauss-Bonnet-Born-Infeld massive gravity
- Vainshtein mechanism in second-order scalar-tensor theories
- Self-accelerating cosmologies and hairy black holes in ghost-free bigravity and massive gravity
- The Self-Accelerating Universe with Vectors in Massive Gravity
- A Proof Of Ghost Freedom In de Rham-Gabadadze-Tolley Massive Gravity
- Constraining the range of Yukawa gravity interaction from S2 star orbits
- Galileon inflation evades the no-go for PBH formation in the single-field framework
- Vainshtein Mechanism In - Theories
- Covariant constraints in ghost free massive gravity
- Massive gravity from bimetric gravity
- Restoring General Relativity in massive bi-gravity theory
- Characterising Vainshtein Solutions in Massive Gravity
- Strong field gravitational lensing by a charged Galileon black hole
- A class of charged black hole solutions in massive (bi)gravity
- Galileon Radiation from Binary Systems
- Stars and Black Holes in Massive Gravity
- Black holes in massive gravity
- Screening the fifth force in the Horndeski's most general scalar-tensor theories
- Massive Gravity: Resolving the Puzzles
- Probing hybrid modified gravity by stellar motion around Galactic Centre
- On horizon structure of bimetric spacetimes
- Equivalence Principle Violation in Vainshtein Screened Two-Body Systems
- Strong constraints on the gravitational law from DR3 wide binaries
- Conserved cosmological perturbation in Galileon models
- Stability analysis of black holes in massive gravity: a unified treatment
- Stability of spin-0 graviton and strong coupling in Horava-Lifshitz theory of gravity
- No evidence of kinetic screening in simulations of merging binary neutron stars beyond general relativity
- Kinetic screening in nonlinear stellar oscillations and gravitational collapse
- Rotating black holes in massive gravity
- Primordial non-Gaussianity from ultra slow-roll Galileon inflation
- Scalar Gravitational Radiation from Binaries: Vainshtein Mechanism in Time-dependent Systems
- Scalar induced gravity waves from ultra slow-roll Galileon inflation
- General relativity limit of Horava-Lifshitz gravity with a scalar field in gradient expansion
- Mixed Galileons and Spherically Symmetric Solutions
- Dynamics of Screening in Modified Gravity
- An Analysis of Characteristics in Non-Linear Massive Gravity
- More on effective composite metrics
- Estimating the Parameters of Extended Gravity Theories with the Schwarzschild Precession of S2 Star
- Stars and (Furry) Black Holes in Lorentz Breaking Massive Gravity
- Hairy black holes in theories with massive gravitons
- Hairy rotating black holes in cubic Galileon theory
- The nonlinear dynamical stability of infrared modifications of gravity
- Effective field theory of modified gravity on the spherically symmetric background: leading order dynamics and the odd-type perturbations
- Degeneracy, matter coupling, and disformal transformations in scalar-tensor theories
- Non linear Fierz-Pauli theory from torsion and bigravity
- Large fluctuations and Primordial Black Holes
- Galileons and strong gravity
- Partially Massless Graviton on Beyond Einstein Spacetimes
- Massive gravity, the elasticity of space-time and perturbations in the dark sector
- Long Range Effects in Gravity Theories with Vainshtein Screening
- Black hole discharge in massive electrodynamics and black hole disappearance in massive gravity
- On Partially Massless Theory in 3 Dimensions
- Combining cosmological and local bounds on bimetric theory
- Dual Massive Gravity
- Properties of scalar wave emission in a scalar-tensor theory with kinetic screening
- Estimating the parameters of Hybrid Palatini gravity model with the Schwarzschild precession of S2, S38 and S55 stars: case of bulk mass distribution
- On the Vainshtein mechanism in the minimal model of massive gravity
- Plane waves in the generalized Galileon theory
- Spherical Cows in the Sky with Fab Four
- Equivalence Principle Violation in Weakly Vainshtein-Screened Systems
- Spherically symmetric solutions in torsion bigravity
- A Well-Posed UV Completion for Simulating Scalar Galileons
- Universally Coupled Massive Gravity, II: Densitized Tetrad and Cotetrad Theories
- Effects of the external string cloud on the Van der Waals like behavior and efficiency of AdS-Schwarzschild black holes in massive gravity
- Double screening
- Finite Energy of Black Holes in Massive Gravity
- Vainshtein screening for slowly rotating stars
- Cosmology of Massive Gravity and its Extensions
- Degravitation of the Cosmological Constant in Bigravity
- Black Holes in Multi-Metric Gravity
- Scalar Dark Energy Models and Scalar-Tensor Gravity: Theoretical Explanations for the Accelerated Expansion of Present Universe
- Proca-stinated Cosmology I: A N-body code for the vector Galileon
- Testing screened scalar-tensor theories of gravity with atomic clocks
- Absence of a Vainshtein radius in torsion bigravity
- Visser's Massive Gravity Bimetric Theory Revisited
- Vainshtein mechanism in massive gravity nonlinear sigma models
- Proca-stinated Cosmology II: Matter, Halo, and Lensing Statistics in the vector Galileon
- Massive graviton on arbitrary background: derivation, syzygies, applications
- Dynamical Chameleon Neutron Stars: stability, radial oscillations and scalar radiation in spherical symmetry
- Generalized interaction in multigravity
- Mach Principle and a new theory of gravitation
- Tighter bounds on a hypothetical graviton screening mass from the gravitational wave observation GW150914 at LIGO
- Gravitational Higgs Mechanism: The Role of Determinantal Invariants
- Constraints on a fifth force from the stellar orbits around the central supermassive black hole of the Milky Way
- Quark-hadron phase transition in massive gravity
- Historical and Philosophical Insights about General Relativity and Space-time from Particle Physics