## Project Details

### Description

Regarding the late-time cosmic expansion, there are several possible explanations, to date. Intuitively,
the first one is the introduction of the dark energy component in the universe . Unfortunately,
the dark energy sector of the universe still remains an open question. In addition, the second scenario
is to interpret this unknown phenomenon by utilizing a purely geometrical picture. The latter is well
known as the modified theory of gravity. Interestingly, modified theories of gravity have received
more attraction lately due to numerous motivations ranging from high-energy physics, cosmology and
astrophysics . Among
numerous alternatives, Nash developed a modified theory of gravity for empty space by employing
higher-derivatives instead of the usual Einstein-Hilbert action.
In this work, we anticipate to generalize the Nash theory by adding the matter fields in the original
action. We specify a proper form of the field equations on more general footings for space with matter
contents.

### Layman's description

Regarding the late-time cosmic expansion, there are several possible explanations, to date. Intuitively,
the first one is the introduction of the dark energy component in the universe . Unfortunately,
the dark energy sector of the universe still remains an open question. In addition, the second scenario
is to interpret this unknown phenomenon by utilizing a purely geometrical picture. The latter is well
known as the modified theory of gravity. Interestingly, modified theories of gravity have received
more attraction lately due to numerous motivations ranging from high-energy physics, cosmology and
astrophysics . Among
numerous alternatives, Nash developed a modified theory of gravity for empty space by employing
higher-derivatives instead of the usual Einstein-Hilbert action.
In this work, we anticipate to generalize the Nash theory by adding the matter fields in the original
action. We specify a proper form of the field equations on more general footings for space with matter
contents.

### Key findings

D. Momeni et al., Eur.Phys.J. C78 (2018) no.7, 588
D. Momeni et al., arXiv:1808.06483 [gr-qc]
D. Momeni et al., arXiv:1812.01990 [gr-qc]

Short title | Several cosmological observations convince us that the observable universe is undergoing a phase of accelerated expansion. The idea of a short period of extremely rapid expansion when the universe was very young is widely motivated. This behavior is impre |
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Acronym | TTotP |

Status | Not started |

### Keywords

- Nash gravitational theory
- matter field contents
- Om analysis
- Gravitation

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