Phantom Accretion onto the Schwarzschild de-Sitter Black Hole

TL;DR

This paper investigates how phantom energy accretes onto Schwarzschild de-Sitter black holes, revealing that such accretion causes black hole mass decrease and identifying critical points outside horizons.

Contribution

It formulates conservation equations for phantom accretion onto Schwarzschild de-Sitter black holes and analyzes critical points, extending previous work on Schwarzschild black holes.

Findings

Black hole mass decreases due to phantom energy accretion.

Two critical points exist outside the horizons.

Results reduce to Schwarzschild case when cosmological constant is zero.

Abstract

We deal with phantom energy accretion onto the Schwarzschild de-Sitter black hole. The energy flux conservation, relativistic Bernoulli equation and mass flux conservation equation are formulated to discuss the phantom accretion. We discuss the conditions for critical accretion. It is found that mass of the black hole decreases due to phantom accretion. There exist two critical points which lie in the exterior of horizons (black hole and cosmological horizons). The results for the phantom energy accretion onto the Schwarzschild black hole can be recovered by taking $\Lambda\rightarrow0$.