Conflict between some higher-order curvature invariant terms
arXiv:2106.06740 · doi:10.1016/j.nuclphysb.2021.115570
Abstract
A viable quantum theory does not allow curvature invariant terms of different higher orders to be accommodated in the gravitational action. We show that there is indeed a conflict between the curvature squared and Gauss-Bonnet squared terms from the point of view of hermiticity. This means one should choose either, in addition to the Einstein-Hilbert term, but never the two together. We explore early cosmic evolution with Gauss-Bonnet squared term.
arXiv comment18 pages, 0 figures
References in corpus (38)
- Planck 2018 results. X. Constraints on inflation
- Modified Gauss-Bonnet theory as gravitational alternative for dark energy
- Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
- Finite-time future singularities in modified Gauss-Bonnet and gravity and singularity avoidance
- Construction of cosmologically viable f(G) gravity models
- String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy
- The Cosmology of Modified Gauss-Bonnet Gravity
- Cosmological inflation in gravity
- Higher order corrections to primordial spectra from cosmological inflation
- Dark energy problem: from phantom theory to modified Gauss-Bonnet gravity
- Circular Polarization of Primordial Gravitational Waves in String-inspired Inflationary Cosmology
- From inflation to dark energy in the non-minimal modified gravity
- Cosmological parameter estimation and the inflationary cosmology
- Higgs inflation
- Bouncing cosmology in modified Gauss-Bonnet gravity
- Dark energy from modified F(R)-scalar-Gauss-Bonnet gravity
- Solar system constraints on f(G) gravity models
- Anisotropic Compact Stars in Gravity
- Higher Curvature Corrections to Primordial Fluctuations in Slow-roll Inflation
- Exploring Cylindrical Solutions in Modified f(G) Gravity
- The Theorem of Ostrogradsky
- f(G) modified gravity and the energy conditions
- f(G) Noether cosmology
- Regular black holes in gravity
- Pathologies in Lovelock AdS Black Branes and AdS/CFT
- Regular multihorizon black holes in gravity with nonlinear electrodynamics
- Canonical Analysis and Stability of Lanczos-Lovelock Gravity
- Early Universe with modified scalar-tensor theory of gravity
- Higher-Order Gauss-Bonnet Cosmology
- Unimodular gravity
- Resolving the issue of branched Hamiltonian in modified Lanczos-Lovelock gravity
- Higgs field in cosmology
- Single-Valued Hamiltonian via Legendre-Fenchel Transformation and Time Translation Symmetry
- Canonical structure of higher derivative theories
- Early universe in view of a modified theory of gravity
- History of cosmic evolution with modified Gauss-Bonnet-dilatonic coupled term
- Probing the early universe with a generalized action
- Canonical equivalence, quantization and anisotropic inflation in higher order theory of gravity