Unimodular gravity as an initial value problem
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866911871292932096 |
|---|---|
| author | Herrera, J. E. Bonder, Y. |
| author_facet | Herrera, J. E. Bonder, Y. |
| contents | Unimodular gravity is a compelling modified theory of gravity that offers a natural solution to the cosmological constant problem. However, for unimodular gravity to be considered a viable theory of gravity, one has to show that it has a well-posed initial value formulation. Working in vacuum, we apply Dirac's algorithm to find all the constraints of the theory. Then we prove that, for initial data compatible with these constraints, the evolution is well posed. Finally, we find sufficient conditions for a matter action to preserve the well-posedness of the initial value problem of unimodular gravity. As a corollary, we argue that the "unimodular" restriction on the spacetime volume element can be satisfied by a suitable choice of the lapse function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_00141 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unimodular gravity as an initial value problem Herrera, J. E. Bonder, Y. General Relativity and Quantum Cosmology Unimodular gravity is a compelling modified theory of gravity that offers a natural solution to the cosmological constant problem. However, for unimodular gravity to be considered a viable theory of gravity, one has to show that it has a well-posed initial value formulation. Working in vacuum, we apply Dirac's algorithm to find all the constraints of the theory. Then we prove that, for initial data compatible with these constraints, the evolution is well posed. Finally, we find sufficient conditions for a matter action to preserve the well-posedness of the initial value problem of unimodular gravity. As a corollary, we argue that the "unimodular" restriction on the spacetime volume element can be satisfied by a suitable choice of the lapse function. |
| title | Unimodular gravity as an initial value problem |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2402.00141 |