Hawking-Moss instanton in nonlinear massive gravity

Abstract

As a first step toward understanding a lanscape of vacua in a theory of non-linear massive gravity, we consider a landscape of a single scalar field and study tunneling between a pair of adjacent vacua. We study the Hawking-Moss (HM) instanton that sits at a local maximum of the potential, and evaluate the dependence of the tunneling rate on the parameters of the theory. It is found that provided with the same physical HM Hubble parameter $H_{HM}$, depending on the values of parameters ${\alpha }_3$ and ${\alpha }_4$ in the action, the corresponding tunneling rate can be either enhanced or suppressed when compared to the one in the context of General Relativity (GR). Furthermore, we find the constraint on the ratio of the physical Hubble parameter to the fiducial one, which constrains the form of potential. This result is in sharp contrast to GR where there is no bound on the minimum value of the potential.

v2, 14 pages, 3 figures, comments and references added

References in corpus (10)

• Resummation of Massive Gravity
• Infrared-modified gravities and massive gravitons
• Massive gravity: nonlinear instability of the homogeneous and isotropic universe
• Cosmological perturbations in Massive Gravity and the Higuchi bound
• Self-accelerating Massive Gravity: Exact solutions for any isotropic matter distribution
• Mass-Varying Massive Gravity
• New Cosmological Solutions in Massive Gravity
• Bounce and cyclic cosmology in extended nonlinear massive gravity
• Cosmological solutions of massive gravity on de Sitter
• Self-accelerating solutions in massive gravity on an isotropic reference metric

Cited by in corpus (20)

• Massive Gravity
• Bounce cosmology from $F(R)$ gravity and $F(R)$ bigravity
• Quasi-dilaton non-linear massive gravity: Investigations of background cosmological dynamics
• Variety of cosmic acceleration models from massive $F(R)$ bigravity
• Cosmological investigations of (extended) nonlinear massive gravity schemes with non-minimal coupling
• $F(R)$ nonlinear massive theories of gravity and their cosmological implications
• New proposal for non-linear ghost-free massive $F(R)$ gravity: cosmic acceleration and Hamiltonian analysis
• Cosmology of F(R) nonlinear massive gravity
• Oscillating universe in massive gravity
• Toward inflation models compatible with the no-boundary proposal
• Fuzzy Euclidean wormholes in de Sitter space
• Oscillating Fubini instantons in curved space
• Ghost-Free Massive $f(R)$ Theories Modelled as Effective Einstein Spaces and Cosmic Acceleration
• Coleman-de Luccia instanton in dRGT massive gravity
• Renormalizable toy model of massive spin two field and new bigravity
• Homogeneous Instantons in Bigravity
• New massive spin two model on curved space-time
• Phantom of the Hartle-Hawking instanton: connecting inflation with dark energy
• Stability analysis for new theories of massive spin-two particle and black hole entropy of new bigravity
• Cosmology and stability in scalar tensor bigravity with non-minimal kinetic coupling gravity