Gravity and Scalar Fields

Abstract

Gravity theories with non-minimally coupled scalar fields are used as characteristic examples in order to demonstrate the challenges, pitfalls and future perspectives of considering alternatives to general relativity. These lecture notes can be seen as an illustration of concepts, subtleties and techniques present in all alternative theories, but they also provide a brief review of generalised scalar-tensor theories.

21 pages, based on a lecture given at the Seventh Aegean Summer School "Beyond Einstein's Theory of Gravity"

References in corpus (11)

• Quantum Gravity at a Lifshitz Point
• Covariant Galileon
• Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
• Avoiding Dark Energy with 1/R Modifications of Gravity
• Black holes in Einstein-aether and Horava-Lifshitz gravity
• Horava-Lifshitz gravity: a status report
• Perturbed Kerr Black Holes can probe deviations from General Relativity
• Slowly rotating black holes in Horava-Lifshitz gravity
• Theory of gravitation theories: a no-progress report
• A no-go theorem for slowly rotating black holes in Horava-Lifshitz gravity
• Scalar field mass in generalized gravity

Cited by in corpus (19)

• Selected topics in scalar-tensor theories and beyond
• The Science of the Einstein Telescope
• Noether symmetries and stability of ideal gas solution in Galileon Cosmology
• Self tuning scalar tensor black holes
• Equations of motion in scalar-tensor theories of gravity: A covariant multipolar approach
• From Lovelock to Horndeski's generalised scalar-tensor theory
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• An attempt to add Barrow entropy in $f(R)$ gravity
• Fundamental Physics and Cosmology with TianQin
• Infinitesimally thin static scalar shells surrounding charged Gauss-Bonnet black holes
• Symmetric wormholes in Einstein-vector-Gauss-Bonnet theory
• Theory-agnostic searches for non-gravitational modes in black hole ringdown
• Scalar Gravitational Wave Signals from Core Collapse in Massive Scalar-Tensor Gravity with Triple-Scalar Interactions
• The gravitational Higgs mechanism and resulting smoking gun effects
• Charged Gauss-Bonnet black holes supporting non-minimally coupled scalar clouds: Analytic treatment in the near-critical regime
• Modified Brans-Dicke cosmology with Minimum Length Uncertainty
• Classical and Quantum cosmology for two scalar field Brans-Dicke type theory: A Noether Symmetry approach
• New inflationary exact solution from Lie symmetries
• Eisenhart-Duval lift, Nonlocal Conservation laws and Painlevé Analysis in Scalar field Cosmology