MG15 - Talk detail |
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Participant |
Tsyba, Pyotr | |||||||
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Institution |
LN Gumilyov Eurasian National University - Satpayev - Astana - Akmola - Kazakhstan | |||||||
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DE1 |
Accepted |
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Oral abstract |
Title |
Myrzakulov gravity model with a fermionic field via Noether symmetry | |||||
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Abstract |
In this paper we consider the Myrzakulov gravity model that include F(R, T) theory of gravity that interacts non-minimally with the fermion field. Here, by means of R and T, the torsion scalar and the scalar of curvature are denoted, respectively. In a general form, equations describing the gravitational and fermion fields are obtained. Then the Noether symmetry method is applied. The special case with is chosen as the model of F(R, T) gravity, the vector of the infinitesimal transformation and the integral of motion are obtained. Using the motion integral of the model under consideration, a cosmological solution is obtained that describes the accelerated expansion of the universe. |
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Session |
DE1 |
Accepted |
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Order |
Time |
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Talk |
Oral abstract |
Title |
f(R) gravity with Maxwell term and g-essence | |||||
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Abstract |
We study the geometry of the phase of spatially flat Friedmann-Lemaitre-Robertson-Walker models in f(R) gravity, for a general form of the function f(R) with Maxwell term and g-essence in four dimensions. New effective Lagrangians and Hamiltonians are presented. We examine f(R) with Maxwell term and g-essence with realizing the crossing of the phantom divide line of w_DE=-1 as well as the models in which the universe always stays in the nonphantom (quintessence) phase (w_DE>-1). Some exact solutions of these models are found. Moreover, we reconstruct the corresponding scalar and fermionic potentials. This transition behavior is consistent with the recent observational data analyse. |
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Pdf file |
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