Reconstruction from scalar–tensor theory and the inhomogeneous equation of state in f(T) gravity
Abstract General relativity (GR) characterizes gravity as a geometric properly exhibited as curvature on spacetime. Teleparallelism describes gravity through torsional properties, and can reproduce GR at the level of equations. Similar to f(R) gravity, on taking a generalization, f(T) gravity can pr...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-12-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-017-5460-y |
| _version_ | 1811273944914722816 |
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| author | Jackson Levi Said |
| author_facet | Jackson Levi Said |
| author_sort | Jackson Levi Said |
| collection | DOAJ |
| description | Abstract General relativity (GR) characterizes gravity as a geometric properly exhibited as curvature on spacetime. Teleparallelism describes gravity through torsional properties, and can reproduce GR at the level of equations. Similar to f(R) gravity, on taking a generalization, f(T) gravity can produce various modifications its gravitational mechanism. The resulting field equations are inherently distinct to f(R) gravity in that they are second order. In the present work, f(T) gravity is examined in the cosmological context with a number of solutions reconstructed by means of an auxiliary scalar field. To do this, various forms of the Hubble parameter are considered with an f(T) Lagrangian emerging for each instance. In addition, the inhomogeneous equation of state (EoS) is investigated with a particular Hubble parameter model used to show how this can be used to reconstruct the f(T) Lagrangian. Observationally, the auxiliary scalar field and the exotic terms in the FRW field equations give the same results, meaning that the variation in the Hubble parameter may be interpreted as the need to reformulate gravity in some way, as in f(T) gravity. |
| first_indexed | 2024-04-12T23:10:00Z |
| format | Article |
| id | doaj.art-f3609bfced8a4504b1d0f5579e2ab3c3 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-04-12T23:10:00Z |
| publishDate | 2017-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-f3609bfced8a4504b1d0f5579e2ab3c32022-12-22T03:12:50ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-12-0177121810.1140/epjc/s10052-017-5460-yReconstruction from scalar–tensor theory and the inhomogeneous equation of state in f(T) gravityJackson Levi Said0Institute of Space Sciences and Astronomy, University of MaltaAbstract General relativity (GR) characterizes gravity as a geometric properly exhibited as curvature on spacetime. Teleparallelism describes gravity through torsional properties, and can reproduce GR at the level of equations. Similar to f(R) gravity, on taking a generalization, f(T) gravity can produce various modifications its gravitational mechanism. The resulting field equations are inherently distinct to f(R) gravity in that they are second order. In the present work, f(T) gravity is examined in the cosmological context with a number of solutions reconstructed by means of an auxiliary scalar field. To do this, various forms of the Hubble parameter are considered with an f(T) Lagrangian emerging for each instance. In addition, the inhomogeneous equation of state (EoS) is investigated with a particular Hubble parameter model used to show how this can be used to reconstruct the f(T) Lagrangian. Observationally, the auxiliary scalar field and the exotic terms in the FRW field equations give the same results, meaning that the variation in the Hubble parameter may be interpreted as the need to reformulate gravity in some way, as in f(T) gravity.http://link.springer.com/article/10.1140/epjc/s10052-017-5460-y |
| spellingShingle | Jackson Levi Said Reconstruction from scalar–tensor theory and the inhomogeneous equation of state in f(T) gravity European Physical Journal C: Particles and Fields |
| title | Reconstruction from scalar–tensor theory and the inhomogeneous equation of state in f(T) gravity |
| title_full | Reconstruction from scalar–tensor theory and the inhomogeneous equation of state in f(T) gravity |
| title_fullStr | Reconstruction from scalar–tensor theory and the inhomogeneous equation of state in f(T) gravity |
| title_full_unstemmed | Reconstruction from scalar–tensor theory and the inhomogeneous equation of state in f(T) gravity |
| title_short | Reconstruction from scalar–tensor theory and the inhomogeneous equation of state in f(T) gravity |
| title_sort | reconstruction from scalar tensor theory and the inhomogeneous equation of state in f t gravity |
| url | http://link.springer.com/article/10.1140/epjc/s10052-017-5460-y |
| work_keys_str_mv | AT jacksonlevisaid reconstructionfromscalartensortheoryandtheinhomogeneousequationofstateinftgravity |