Non-trivial time crystal-like ground state for gravitational perturbation in quadratic gravity
arXiv:2001.04680 · doi:10.1016/j.dark.2022.100976
Abstract
We consider gravitational perturbation around maximally symmetric background of a theory of gravity involving quadratic curvature correction. This leads to a decoupled model of the standard transverse, traceless graviton mode and an additional scalar degree of freedom. Evolution of the latter is governed by a Lagrangian, which depends on higher derivative terms, inherited from the quadratic curvature correction in the action. It turns out that stability of the gravitational theory allows the scalar sector to choose between possible lowest energy states (or, ground states), that can sustain periodic form of inhomogeneity, either in space or in time. The latter, with a restricted form of invariance in time translation, is possibly a variant form of the time crystal. Existence of this novel ground state, depicting a time crystal, is solely related to the presence of higher curvature terms in the action. In particular, this non-trivial condensate-like ground state describe the spacetime fabric itself by introducing fundamental scales in the theory. Possible implications are also discussed.
v2, published version, title changed, 20 pages and no figures
References in corpus (19)
- Dynamics of dark energy
- Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
- First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
- First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
- Strong constraints on cosmological gravity from GW170817 and GRB 170817A
- Limit to General Relativity in f(R) theories of gravity
- Junction Conditions in f(R) Theories of Gravity
- Hamiltonian Formulation of Palatini f(R) theories a la Brans-Dicke
- Spherically symmetric brane spacetime with bulk gravity
- Constraining some Horndeski gravity theories
- Real space observation of magnon interaction with driven space-time crystals
- Various Hamiltonian formulations of f(R) gravity and their canonical relationships
- Time-crystal ground state and production of gravitational waves from QCD phase transition
- Birth of de Sitter Universe from time crystal
- On the canonical formalism of -type gravity using Lie derivatives
- From Crystal Color Symmetry to Quantum Spacetime
- Softly broken conformal symmetry with higher curvature terms