Aether scalar tensor theory: Linear stability on Minkowski space

0567312 - FZÚ 2023 RIV US eng J - Článek v odborném periodiku
Skordis, Constantinos - Zlosnik, Thomas
Aether scalar tensor theory: Linear stability on Minkowski space.
Physical Review D. Roč. 106, č. 10 (2022), č. článku 104041. ISSN 2470-0010. E-ISSN 2470-0029
Grant CEP: GA ČR(CZ) GA20-28525S; GA MŠMT EF15_003/0000437
GRANT EU: European Commission(XE) 617656 - THEMODS
Grant ostatní: OP VVV - CoGraDS(XE) CZ.02.1.01/0.0/0.0/15_003/0000437
Institucionální podpora: RVO:68378271
Klíčová slova: Hamiltonian * gravitation: scalar tensor * background
Obor OECD: Particles and field physics
Impakt faktor: 5, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.1103/PhysRevD.106.104041

We have recently proposed a simple relativistic theory which reduces to modified Newtonian dynamics for the weak-field quasistatic situations applied to galaxies, and to cosmological behavior as in the ΛCDM model, yielding a realistic cosmology in line with observations. A key requirement of any such model is that Minkowski space is stable against linear perturbations. We expand the theory action to second order in perturbations on a Minkowski background and show that it leads to healthy dispersion relations involving propagating massive modes in the vector and the scalar sector. We use Hamiltonian methods to eliminate constraints present, demonstrate that the massive modes have Hamiltonian bounded from below, and show that a nonpropagating mode with a linear time dependence may have unbounded Hamiltonian for wave numbers k<μ and bounded otherwise.
Trvalý link: https://hdl.handle.net/11104/0338572