Absence of solid angle deficit singularities in beyond-generalized Proca theories

Abstract

In Gleyzes-Langlois-Piazza-Vernizzi (GLPV) scalar-tensor theories, which are outside the domain of second-order Horndeski theories, it is known that there exists a solid angle deficit singularity in the case where the parameter ${\alpha }_{\mathrm{H}}$ characterizing the deviation from Horndeski theories approaches a non-vanishing constant at the center of a spherically symmetric body. Meanwhile, it was recently shown that second-order generalized Proca theories with a massive vector field $A^{\mu }$ can be consistently extended to beyond-generalized Proca theories, which recover shift-symmetric GLPV theories in the scalar limit $A^{\mu }\to {\nabla }^{\mu }\chi$. In beyond-generalized Proca theories up to quartic-order Lagrangians, we show that solid angle deficit singularities are generally absent due to the existence of a temporal vector component. We also derive the vector-field profiles around a compact object and show that the success of the Vainshtein mechanism operated by vector Galileons is not prevented by new interactions in beyond generalized Proca theories.

16 pages, minor changes, journal version

References in corpus (26)

• Dynamics of dark energy
• Cosmology and the Fate of Dilatation Symmetry
• Beyond the Cosmological Standard Model
• Covariant Galileon
• Healthy theories beyond Horndeski
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• G-inflation: inflation driven by the Galileon field
• Exploring gravitational theories beyond Horndeski
• Approaches to Understanding Cosmic Acceleration
• Breaking of Vainshtein screening in scalar-tensor theories beyond Horndeski
• A cosmic vector for dark energy
• Lectures on the Cosmological Constant Problem
• Hamiltonian analysis of spatially covariant gravity
• Modified gravity inside astrophysical bodies
• Hamiltonian structure of scalar-tensor theories beyond Horndeski
• Cosmology of the proxy theory to massive gravity
• A small cosmological constant from Abelian symmetry breaking
• Effective field theory of modified gravity with two scalar fields: dark energy and dark matter
• Solutions in the generalized Proca theory with the nonminimal coupling to the Einstein tensor
• Effective field theory approach to modified gravity including Horndeski theory and Hořava-Lifshitz gravity
• Cosmology in generalized Horndeski theories with second-order equations of motion
• Cosmologies in Horndeski's second-order vector-tensor theory
• Anisotropic cosmological solutions in massive vector theories
• On the stability and causality of scalar-vector theories
• Observational signatures of the theories beyond Horndeski
• Effective field theory of modified gravity on the spherically symmetric background: leading order dynamics and the odd-type perturbations

Cited by in corpus (1)

• Suppression of matter couplings with a vector field in generalized Proca theories