Nonminimal Derivative Coupling and the Recovering of Cosmological Constant

TL;DR

This paper demonstrates that a nonminimal derivative coupling in gravity's action can account for the cosmological constant without needing an explicit scalar potential, providing exact solutions.

Contribution

It introduces a novel connection between the cosmological constant and nonminimal derivative coupling in scalar-tensor gravity theories, without scalar potential.

Findings

Establishes a link between cosmological constant and derivative coupling

Provides exact solutions for the modified gravity model

Shows potential for explaining dark energy phenomena

Abstract

We show that the existence of the cosmological constant can be connected to a nonminimal derivative coupling, in the action of gravity, between the geometry and the kinetic part of a given scalar field without introducing any effective potential of scalar fields. Exact solutions are given.