Search on a modified gravity theory including scalar density field

Abstract

In this study, we investigated modified gravity in terms of both scalar and scalar density fields. Subsequently, the results are compared and briefly discussed within the framework of the Friedmann-Robertson-Walker (FRW) metric. We present here focus our attention on investigating a new modified gravitational theory by making use of a weight 2 scalar density field, which may be important to describe a late universe. On this purpose, we derive corresponding equation-of-motion (EoM) for the selected scalar density form in order to reveal cosmological features of our theoretical ground. Consequently we arrived at the new and interesting field equations derived from modified equations of action corresponding to an FRW metric.

Keywords

• modified gravity
• scalar density
• scalar field

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