Some exact solutions in gravity via Noether symmetries
Apr 26, 201716 pages
Published in:
- Mod.Phys.Lett.A 32 (2017) 16, 1750086
- Published: Apr 26, 2017
e-Print:
- 1707.03189 [gr-qc]
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Abstract: (WSP)
This paper is devoted to investigate the recently proposed modified Gaussā€“Bonnet f(š¯’¢,T) gravity, with š¯’¢, the Gaussā€“Bonnet term, coupled with T, the trace of energyā€“momentum tensor. We have used the Noether symmetry methodology to discuss some cosmologically important f(š¯’¢,T) gravity models with anisotropic background. In particular, the Noether symmetry equations for modified f(š¯’¢,T) gravity are reported for locally rotationally symmetric Bianchi type I universe. Explicitly, two models have been proposed to explore the exact solutions and the conserved quantities. It is concluded that the specific models of modified Gaussā€“Bonnet gravity may be used to reconstruct Ī›CDM cosmology without involving any cosmological constant.Note:
- 21 pages, 8 figures
- 04.20.Jb
- 98.80.Jk
- f(š¯’¢,T) gravity
- Noether symmetries
- Ī›CDM
- symmetry: Noether
- gravitation: model
- tensor: energy-momentum
- background: anisotropy
- dark matter
References(0)
Figures(8)
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