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Aether scalar tensor theory: Linear stability on Minkowski space
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SYSNO ASEP 0567312 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve SCOPUS Title Aether scalar tensor theory: Linear stability on Minkowski space Author(s) Skordis, Constantinos (FZU-D) ORCID
Zlosnik, Thomas (FZU-D) ORCIDNumber of authors 2 Article number 104041 Source Title Physical Review D. - : American Physical Society - ISSN 2470-0010
Roč. 106, č. 10 (2022)Number of pages 12 s. Language eng - English Country US - United States Keywords Hamiltonian ; gravitation: scalar tensor ; background Subject RIV BE - Theoretical Physics OECD category Particles and field physics R&D Projects GA20-28525S GA ČR - Czech Science Foundation (CSF) EF15_003/0000437 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Method of publishing Limited access Institutional support FZU-D - RVO:68378271 EID SCOPUS 85142929741 DOI 10.1103/PhysRevD.106.104041 Annotation 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. Workplace Institute of Physics Contact Kristina Potocká, potocka@fzu.cz, Tel.: 220 318 579 Year of Publishing 2023 Electronic address https://doi.org/10.1103/PhysRevD.106.104041
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