Non-relativistic stellar structure in the Fierz--Pauli theory and generic linear massive gravity
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arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| author | Tachinami, Tomoya Sendouda, Yuuiti |
| author_facet | Tachinami, Tomoya Sendouda, Yuuiti |
| contents | We study the structure of static spherical stars composed of non-relativistic matter in linear massive gravity with or without the Fierz-Pauli (FP) tuning. Adopting a polytropic equation of state, we construct master differential equations for the stellar profile function, which is fourth order in the FP theory or sixth order in generic non-FP theories, where the difference in the differential order reflects the presence of a ghost spin-0 graviton in the latter. In both cases, even when the spin-0 ghost is present, we find exact solutions with finite radius for the polytropic indices n = 0 and 1. Analyzing the dependences of the stellar radius, mass, and Yukawa charge on the graviton masses, we observe that a discontinuous behavior arises in the massless limit of the FP theory similarly to the van Dam-Veltman-Zakharov discontinuity, while it is absent in non-FP theories. We discuss rough observational constraints on the graviton masses. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_16363 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-relativistic stellar structure in the Fierz--Pauli theory and generic linear massive gravity Tachinami, Tomoya Sendouda, Yuuiti General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena Solar and Stellar Astrophysics High Energy Physics - Theory We study the structure of static spherical stars composed of non-relativistic matter in linear massive gravity with or without the Fierz-Pauli (FP) tuning. Adopting a polytropic equation of state, we construct master differential equations for the stellar profile function, which is fourth order in the FP theory or sixth order in generic non-FP theories, where the difference in the differential order reflects the presence of a ghost spin-0 graviton in the latter. In both cases, even when the spin-0 ghost is present, we find exact solutions with finite radius for the polytropic indices n = 0 and 1. Analyzing the dependences of the stellar radius, mass, and Yukawa charge on the graviton masses, we observe that a discontinuous behavior arises in the massless limit of the FP theory similarly to the van Dam-Veltman-Zakharov discontinuity, while it is absent in non-FP theories. We discuss rough observational constraints on the graviton masses. |
| title | Non-relativistic stellar structure in the Fierz--Pauli theory and generic linear massive gravity |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena Solar and Stellar Astrophysics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.16363 |