Ghost and Laplacian Instabilities in the Teleparallel Horndeski Gravity

Abstract

Teleparallel geometry offers a platform on which to build up theories of gravity where torsion rather than curvature mediates gravitational interaction. The teleparallel analogue of Horndeski gravity is an approach to teleparallel geometry where scalar-tensor theories are considered in this torsional framework. Being teleparallel gravity of lower order in dynamics, this turns out to be more general than metric Horndeski gravity. In other words, the class of teleparallel Horndeski gravity models is much broader than the standard metric one. In this work, we explore constraints on this wide range of models coming from ghost and Laplacian instabilities. The aim is to limit pathological branches of the theory by fundamental considerations. It is possible to conclude that a very large class of models results physically viable.

References in corpus (34)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• A Comprehensive Measurement of the Local Value of the Hubble Constant with 1 km/s/Mpc Uncertainty from the Hubble Space Telescope and the SH0ES Team
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• An Ordinary Short Gamma-Ray Burst with Extraordinary Implications: Fermi-GBM Detection of GRB 170817A
• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• Dark Energy after GW170817: dead ends and the road ahead
• The Pantheon+ Analysis: The Full Dataset and Light-Curve Release
• The trouble with $H_0$
• Horndeski theory and beyond: a review
• Avoiding Dark Energy with 1/R Modifications of Gravity
• On Born-Infeld Gravity in Weitzenbock spacetime
• Cosmological perturbations in f(T) gravity
• Noether Symmetry Approach in $f(T,B)$ teleparallel cosmology
• The Pantheon+ Analysis: SuperCal-Fragilistic Cross Calibration, Retrained SALT2 Light Curve Model, and Calibration Systematic Uncertainty
• Comparing Equivalent Gravities: common features and differences
• Third order equations of motion and the Ostrogradsky instability
• New classes of modified teleparallel gravity models
• Generalized Brans-Dicke theories
• Noether Symmetries in Gauss-Bonnet-teleparallel cosmology
• Gauge-invariant Formulation of the Second-order Cosmological Perturbations
• Addressing the cosmological $H_0$ tension by the Heisenberg uncertainty
• Gravitoelectromagnetism, Solar System Test and Weak-Field Solutions in $f(T,B)$ Gravity with Observational Constraints
• f(R) gravity: successes and challenges
• de Sitter and Scaling solutions in a higher-order modified teleparallel theory
• Growth factor in $f(T,\mathcal{T})$ gravity
• Classification of Teleparallel Horndeski Cosmology via Noether Symmetries
• General cosmological perturbations in teleparallel gravity
• Well-tempered teleparallel Horndeski cosmology: a teleparallel variation to the cosmological constant problem
• Fluid nature constrains Horndeski gravity
• Generalized McVittie geometry in Horndeski gravity with matter
• Spin and Anholonomy in General Relativity

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• Minisuperspace quantum cosmology in $f(Q)$ gravity
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• Big Bang Nucleosynthesis constraints on the cosmological evolution in a Universe with a Weylian Boundary
• Quartic Horndeski-Cartan theories in a FLRW universe
• Healthy Horndeski cosmologies with torsion
• Propagating Gravitational Waves in Teleparallel Gauss-Bonnet Gravity
• Gauge invariant perturbations in teleparallel Horndeski gravity