On Derrick's theorem in curved spacetime
arXiv:1906.00702 · doi:10.1103/PhysRevD.100.025014
Abstract
We extend Derrick's theorem to the case of a generic irrotational curved spacetime adopting a strategy similar to the original proof. We show that a static relativistic star made of real scalar fields is never possible regardless of the geometrical properties of the (static) spacetimes. The generalised theorem offers a tool that can be used to check the stability of localised solutions of a number of types of scalar fields models as well as of compact objects of theories of gravity with a non-minimally coupled scalar degree of freedom.
arXiv comment13 pages
References in corpus (17)
- A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
- Phantom Energy and Cosmic Doomsday
- Kinetically Driven Quintessence
- Generalized G-inflation: Inflation with the most general second-order field equations
- Quintom Cosmology: Theoretical implications and observations
- Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
- Spontaneous scalarisation of charged black holes
- Relativistic conservation laws and integral constraints for large cosmological perturbations
- A covariant approach for perturbations of rotationally symmetric spacetimes
- Covariant Perturbations of Schwarzschild Black Holes
- Scalar field and electromagnetic perturbations on Locally Rotationally Symmetric spacetimes
- Gravitational Geons Revisited
- Quantization of the Damped Harmonic Oscillator Revisited
- Gravitational energy in stationary spacetimes
- Evading Derrick's theorem in curved space: Static metastable spherical domain wall
- No-go theorem for static boson stars
- The 1+1+2 formalism for Scalar-Tensor gravity
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- Analytical solutions for Maxwell-scalar system on radially symmetric spacetimes
- Effective Lifshitz black holes, hydrodynamics, and transport coefficients in fluid/gravity correspondence