Invertible disformal transformations with arbitrary higher-order derivatives
arXiv:2307.08814 · doi:10.1103/PhysRevD.108.084031
Abstract
Invertible disformal transformations serve as a useful tool to explore ghost-free scalar-tensor theories. In this paper, we construct a generalization of invertible disformal transformations that involves arbitrary higher-order covariant derivatives of the scalar field. As a result, we obtain a more general class of ghost-free scalar-tensor theories than ever. Notably, our generalization is such that matter fields can be consistently coupled to these theories without introducing an unwanted extra degree of freedom in the unitary gauge.
9 pages
References in corpus (17)
- The Effective Field Theory of Inflation
- Horndeski theory and beyond: a review
- Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies
- Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
- Cuscuton: A Causal Field Theory with an Infinite Speed of Sound
- Unifying framework for scalar-tensor theories of gravity
- Breaking of Vainshtein screening in scalar-tensor theories beyond Horndeski
- Vainshtein mechanism after GW170817
- Third order equations of motion and the Ostrogradsky instability
- Modified gravity inside astrophysical bodies
- Extended mimetic gravity: Hamiltonian analysis and gradient instabilities
- Exact black hole solutions in shift-symmetric quadratic degenerate higher-order scalar-tensor theories
- Linear stability analysis of hairy black holes in quadratic degenerate higher-order scalar-tensor theories: Odd-parity perturbations
- Quasinormal modes and grey-body factors of regular black holes with a scalar hair from the Effective Field Theory
- Black hole perturbations in DHOST theories: Master variables, gradient instability, and strong coupling
- Generalized Regge-Wheeler Equation from Effective Field Theory of Black Hole Perturbations with a Timelike Scalar Profile
- Spatially covariant gravity: Perturbative analysis and field transformations
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- Recent Developments in Degenerate Higher Order Scalar Tensor Theories
- Quasinormal Modes from EFT of Black Hole Perturbations in Vector-Tensor Gravity
- Stealth black hole solutions in higher-order Maxwell-Einstein theories
- EFT of Dark Energy with Cosmic Chronometers: Reconstructing Background EFT Functions