Gravitational decoupling, hairy black holes and conformal anomalies

TL;DR

This paper explores hairy black holes within gravitational decoupling, analyzing conformal anomalies to establish bounds on parameters that enable reliable AdS/CFT correspondence modeling.

Contribution

It introduces a novel approach linking gravitational decoupling parameters with conformal anomalies to better understand hairy black hole solutions.

Findings

Bounded the gravitational decoupling parameter range

Linked trace anomaly ratios to holographic Weyl anomalies

Demonstrated conditions for reliable AdS/CFT emulation

Abstract

Hairy black holes in the gravitational decoupling setup are studied from the perspective of conformal anomalies. Fluctuations of decoupled sources can be computed by measuring the way the trace anomaly-to-holographic Weyl anomaly ratio differs from unit. Therefore the gravitational decoupling parameter governing three hairy black hole metrics is then bounded to a range wherein one can reliably emulate AdS/CFT with gravitational decoupled solutions, in the tensor vacuum regime.