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.
13 pages
References in corpus (5)
- Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
- A covariant approach for perturbations of rotationally symmetric spacetimes
- Gravitational energy in stationary spacetimes
- Evading Derrick's theorem in curved space: Static metastable spherical domain wall
- No-go theorem for static boson stars
Cited by in corpus (11)
- Observational properties of relativistic fluid spheres with thin accretion disks
- Radially symmetric scalar solitons
- Solitons in curved spacetime
- Localized scalar structures around static black holes
- Scalar fields and Lifshitz black holes from Derrick's theorem evasion
- Real scalar field kink(-antikink)s and their perturbation spectra in a closed universe
- Parametric-resonance based phenomenology of gravitating axion configurations
- Charged Lifshitz black holes from general covariance breaking
- Compact stars in Einstein-scalar-Gauss-Bonnet gravity: regular and divergent scalar field configurations
- Analytical solutions for Maxwell-scalar system on radially symmetric spacetimes
- Effective Lifshitz black holes, hydrodynamics, and transport coefficients in fluid/gravity correspondence