Aether scalar tensor theory: Linear stability on Minkowski space

0567312 - FZÚ 2023 RIV US eng J - Journal Article
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
R&D Projects: GA ČR(CZ) GA20-28525S; GA MŠMT EF15_003/0000437
EU Projects: European Commission(XE) 617656 - THEMODS
Grant - others:OP VVV - CoGraDS(XE) CZ.02.1.01/0.0/0.0/15_003/0000437
Institutional support: RVO:68378271
Keywords : Hamiltonian * gravitation: scalar tensor * background
OECD category: Particles and field physics
Impact factor: 5, year: 2022
Method of publishing: Limited access
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.
Permanent Link: https://hdl.handle.net/11104/0338572