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This is a Quantitative Study study.

October 3, 2025Open Access

Dynamics of Interacting Murnaghan-Equation-of-State Fluids with Global Monopole and Nonlinear Power-Yang-Mills Hair in Critical-Dimension AdS Black Holes

Puntos clave

The study identifies regions where energy conditions hold, signaling phantom-like behavior under specified parameters.
Explicit relationships for Hawking temperature, entropy, and heat capacity highlight the rich thermodynamic structure of black holes.
Closed-form solutions illustrate the impact of Murnaghan fluids on curvature singularities for dimensionality greater than three.
Phase behaviors are influenced by varying Yang-Mills charge, monopole coupling, and Murnaghan parameters, demonstrating complex interactions.

Resumen

We construct and analyze a novel family of exact higher-dimensional black hole solutions in Einstein-Power-Yang-Mills gravity minimally coupled to a scalar field multiplet supporting a global monopole and a surrounding anisotropic ''scalar gas'' whose stress-energy obeys a generalized Murnaghan equation of state. By adopting the Wu-Yang magnetic ansatz for the non-Abelian sector and enforcing the physically motivated radial condition pᵣ=-ρ, the field equations admit closed-form expressions for the matter density and a single-function lapse F (r) expressed in terms of elementary and Gauss hypergeometric functions. The Murnaghan fluid interpolates between a non-linear core and an effective vacuum at a large radius, producing a backreaction encoded by parameters that control the stiffness and scalar-backreaction scale. We perform a systematic survey of classical energy condition, identifying regions of parameter space where the null energy condition/dominant energy condition holds while the strong energy condition is generically violated (phantom-like behavior), and examine curvature invariants to demonstrate that the solutions possess a central curvature singularity for n>3. Thermodynamic properties are derived in the extended phase space: explicit formulas for the Hawking temperature, entropy, conjugate potentials, and a generalized Smarr relation are obtained; the heat capacity exhibits divergencies and sign changes that mark local stability boundaries and second-order phase transitions. Varying the Yang-Mills charge, the nonlinearity index, the monopole coupling, and the Murnaghan parameters generates a rich phase behavior structure and topology changes in the defect (φ-Duan) map. The results underscore the manner in which gauge nonlinearity, topological defects, and dual-polytropic matter collaboratively transform BH thermodynamics and the topology of phase spaces.

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