On covariant expansion of the gravitational Stückelberg trick
arXiv:1502.07691 · doi:10.1103/PhysRevD.91.094001
Abstract
A new approach to expanding the "Stückelbergized" fiducial metric in a covariant manner is developed. The idea is to consider the curved 4-dimensional space as a codimension-one hypersurface embedded in a 5-dimensional Minkowski bulk, in which the 5-dimensional Goldstone modes can be defined as usual. After solving one constraint among the five 5-dimensional Goldstone modes and projecting onto the 4-dimensional hypersurface, we are able to express the "Stückelbergized" fiducial metric in terms of the 4-dimensional Goldstone modes as well as 4-dimensional curvature quantities. We also compared the results with expressions got using the Riemann Normal Coordinates (RNC) in Gao et al [Phys. Rev. D90, 124073 (2014)] and find that, after a simple field redefinition, results got in two approaches exactly coincide.
arXiv comment7 pages, double column, 1 figure
References in corpus (31)
- Modified Gravity and Cosmology
- Resummation of Massive Gravity
- Beyond the Cosmological Standard Model
- Massive Gravity
- The Effective Field Theory of Inflation
- Theoretical Aspects of Massive Gravity
- Effective Field Theory for Massive Gravitons and Gravity in Theory Space
- Transforming gravity: from derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian
- Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies
- Exploring gravitational theories beyond Horndeski
- On Non-Linear Actions for Massive Gravity
- Ghosts in Massive Gravity
- Ghost free Massive Gravity in the Stückelberg language
- DBI and the Galileon reunited
- Multi-field galileons and higher co-dimension branes
- Unifying framework for scalar-tensor theories of gravity
- Symmetries for Galileons and DBI scalars on curved space
- Helicity Decomposition of Ghost-free Massive Gravity
- Cosmological Stability Bound in Massive Gravity and Bigravity
- Ghosts, Strong Coupling and Accidental Symmetries in Massive Gravity
- Hamiltonian analysis of spatially covariant gravity
- General Embedded Brane Effective Field Theories
- de Sitter Galileon
- A Proof Of Ghost Freedom In de Rham-Gabadadze-Tolley Massive Gravity
- Massive Gravity on de Sitter and Unique Candidate for Partially Massless Gravity
- Hamiltonian structure of scalar-tensor theories beyond Horndeski
- Hidden Gravity in Open-String Field Theory
- Massive gravity: a General Analysis
- Covariant Approach to the No-ghost Theorem in Massive Gravity
- Massive Gravity on Curved Background
- Covariant Stückelberg analysis of de Rham-Gabadadze-Tolley massive gravity with a general fiducial metric