Finslerian analogue of the Schwarzschild–de Sitter space-time.

This paper aims to study the Finslerian equivalent of Schwarzschild–de Sitter space-time. We propose the gravitational field equation with a non-vanishing cosmological constant in Finslerian geometry. And we have observed that our presented Finslerian gravitational field equation corresponds to the non-zero value of the Ricci scalar. We have obtained the Finslerian-modified expressions of the black hole horizon, cosmological horizon, and static radius. Also, we have found that the Finslerian Schwarzschild–de Sitter space-time does not have constant flag curvature. Further, particle motion is discussed in Finslerian Schwarzschild–de Sitter space-time. [ABSTRACT FROM AUTHOR]