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"

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Cited by in corpus (47)

• Testing General Relativity with Present and Future Astrophysical Observations
• Black holes, gravitational waves and fundamental physics: a roadmap
• Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (I) Inspiral-Merger
• Black Holes and Scalar Fields
• Black holes and stars in Horndeski theory
• Selected topics in scalar-tensor theories and beyond
• The Science of the Einstein Telescope
• Tensor-multi-scalar theories: relativistic stars and 3+1 decomposition
• Hamiltonian vs stability and application to Horndeski theory
• Black holes and solitons in an extended Proca theory
• $f(R)$-gravity from Killing Tensors
• Palatini frames in scalar-tensor theories of gravity
• Probing the Nature of Black Holes: Deep in the mHz Gravitational-Wave Sky
• Noether symmetries and stability of ideal gas solution in Galileon Cosmology
• Self tuning scalar tensor black holes
• Scalar field cosmology modified by the Generalized Uncertainty Principle
• Classical and Quantum Solutions in Brans-Dicke Cosmology with a Perfect Fluid
• Horndeski theories confront the Gravity Probe B experiment
• Multipolar test body equations of motion in generalized gravity theories
• Cosmological Number Counts in Einstein and Jordan frames
• Equations of motion in scalar-tensor theories of gravity: A covariant multipolar approach
• Cosmological Evolution of Two-Scalar fields Cosmology in the Jordan frame
• Exact Scalar-Tensor Cosmological Models
• Conservation laws and Exact Solutions in Brans-Dicke Cosmology with a Scalar Field
• From Lovelock to Horndeski's generalised scalar-tensor theory
• Neutron star pulse profile observations as extreme gravity probes
• Numerical Relativity and High Energy Physics: Recent Developments
• Asymptotic behavior of $N$-fields Chiral Cosmology
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Isotropic quasi-Einstein manifolds
• An attempt to add Barrow entropy in $f(R)$ gravity
• Fundamental Physics and Cosmology with TianQin
• Constructing Neutron Stars with a Gravitational Higgs Mechanism
• Equivalence principle in scalar-tensor gravity
• Infinitesimally thin static scalar shells surrounding charged Gauss-Bonnet black holes
• Theory-agnostic searches for non-gravitational modes in black hole ringdown
• Gravity and Nonlinear Symmetry Realisation
• Symmetric wormholes in Einstein-vector-Gauss-Bonnet theory
• The gravitational Higgs mechanism and resulting smoking gun effects
• Scalar Gravitational Wave Signals from Core Collapse in Massive Scalar-Tensor Gravity with Triple-Scalar Interactions
• Modified Brans-Dicke cosmology with Minimum Length Uncertainty
• Charged Gauss-Bonnet black holes supporting non-minimally coupled scalar clouds: Analytic treatment in the near-critical regime
• New inflationary exact solution from Lie symmetries
• Classical and Quantum cosmology for two scalar field Brans-Dicke type theory: A Noether Symmetry approach
• Dynamics of domain wall in charged AdS dilaton black hole spacetime
• Eisenhart-Duval lift, Nonlocal Conservation laws and Painlevé Analysis in Scalar field Cosmology
• Braneworld-Klein-Gordon system in the framework of gravitational decoupling