Classical and quantum cosmology of minimal massive bigravity
In a Friedmann–Robertson–Walker (FRW) space–time background we study the classical cosmological models in the context of recently proposed theory of nonlinear minimal massive bigravity. We show that in the presence of perfect fluid the classical field equations acquire contribution from the massive...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2016-10-01
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| Series: | Physics Letters B |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269316304518 |
| _version_ | 1818989024101007360 |
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| author | F. Darabi M. Mousavi |
| author_facet | F. Darabi M. Mousavi |
| author_sort | F. Darabi |
| collection | DOAJ |
| description | In a Friedmann–Robertson–Walker (FRW) space–time background we study the classical cosmological models in the context of recently proposed theory of nonlinear minimal massive bigravity. We show that in the presence of perfect fluid the classical field equations acquire contribution from the massive graviton as a cosmological term which is positive or negative depending on the dynamical competition between two scale factors of bigravity metrics. We obtain the classical field equations for flat and open universes in the ordinary and Schutz representation of perfect fluid. Focusing on the Schutz representation for flat universe, we find classical solutions exhibiting singularities at early universe with vacuum equation of state. Then, in the Schutz representation, we study the quantum cosmology for flat universe and derive the Schrodinger–Wheeler–DeWitt equation. We find its exact and wave packet solutions and discuss on their properties to show that the initial singularity in the classical solutions can be avoided by quantum cosmology. Similar to the study of Hartle–Hawking no-boundary proposal in the quantum cosmology of de Rham, Gabadadze and Tolley (dRGT) massive gravity, it turns out that the mass of graviton predicted by quantum cosmology of the minimal massive bigravity is large at early universe. This is in agreement with the fact that at early universe the cosmological constant should be large. |
| first_indexed | 2024-12-20T19:31:54Z |
| format | Article |
| id | doaj.art-740a7b7d34cd4cc48311792d9dfcd2eb |
| institution | Directory Open Access Journal |
| issn | 0370-2693 1873-2445 |
| language | English |
| last_indexed | 2024-12-20T19:31:54Z |
| publishDate | 2016-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-740a7b7d34cd4cc48311792d9dfcd2eb2022-12-21T19:28:46ZengElsevierPhysics Letters B0370-26931873-24452016-10-01761C26928010.1016/j.physletb.2016.08.031Classical and quantum cosmology of minimal massive bigravityF. DarabiM. MousaviIn a Friedmann–Robertson–Walker (FRW) space–time background we study the classical cosmological models in the context of recently proposed theory of nonlinear minimal massive bigravity. We show that in the presence of perfect fluid the classical field equations acquire contribution from the massive graviton as a cosmological term which is positive or negative depending on the dynamical competition between two scale factors of bigravity metrics. We obtain the classical field equations for flat and open universes in the ordinary and Schutz representation of perfect fluid. Focusing on the Schutz representation for flat universe, we find classical solutions exhibiting singularities at early universe with vacuum equation of state. Then, in the Schutz representation, we study the quantum cosmology for flat universe and derive the Schrodinger–Wheeler–DeWitt equation. We find its exact and wave packet solutions and discuss on their properties to show that the initial singularity in the classical solutions can be avoided by quantum cosmology. Similar to the study of Hartle–Hawking no-boundary proposal in the quantum cosmology of de Rham, Gabadadze and Tolley (dRGT) massive gravity, it turns out that the mass of graviton predicted by quantum cosmology of the minimal massive bigravity is large at early universe. This is in agreement with the fact that at early universe the cosmological constant should be large.http://www.sciencedirect.com/science/article/pii/S0370269316304518Massive bigravityWheeler–DeWitt equationSchutz representation |
| spellingShingle | F. Darabi M. Mousavi Classical and quantum cosmology of minimal massive bigravity Physics Letters B Massive bigravity Wheeler–DeWitt equation Schutz representation |
| title | Classical and quantum cosmology of minimal massive bigravity |
| title_full | Classical and quantum cosmology of minimal massive bigravity |
| title_fullStr | Classical and quantum cosmology of minimal massive bigravity |
| title_full_unstemmed | Classical and quantum cosmology of minimal massive bigravity |
| title_short | Classical and quantum cosmology of minimal massive bigravity |
| title_sort | classical and quantum cosmology of minimal massive bigravity |
| topic | Massive bigravity Wheeler–DeWitt equation Schutz representation |
| url | http://www.sciencedirect.com/science/article/pii/S0370269316304518 |
| work_keys_str_mv | AT fdarabi classicalandquantumcosmologyofminimalmassivebigravity AT mmousavi classicalandquantumcosmologyofminimalmassivebigravity |