Dynamics of Interacting Murnaghan-Equation-of-State Fluids with Global Monopole and Nonlinear Power-Yang-Mills Hair in Critical-Dimension AdS Black Holes
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908549485953024 |
|---|---|
| author | Sekhmani, Yassine Maurya, Sunil Kumar Rayimbaev, Javlon Altanji, Mohamed Ibragimov, Inomjon Landry, Alexandre Muminov, Sokhibjan |
| author_facet | Sekhmani, Yassine Maurya, Sunil Kumar Rayimbaev, Javlon Altanji, Mohamed Ibragimov, Inomjon Landry, Alexandre Muminov, Sokhibjan |
| contents | 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 $p_r=-ρ$, 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_16728 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamics of Interacting Murnaghan-Equation-of-State Fluids with Global Monopole and Nonlinear Power-Yang-Mills Hair in Critical-Dimension AdS Black Holes Sekhmani, Yassine Maurya, Sunil Kumar Rayimbaev, Javlon Altanji, Mohamed Ibragimov, Inomjon Landry, Alexandre Muminov, Sokhibjan General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics 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 $p_r=-ρ$, 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. |
| title | Dynamics of Interacting Murnaghan-Equation-of-State Fluids with Global Monopole and Nonlinear Power-Yang-Mills Hair in Critical-Dimension AdS Black Holes |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2509.16728 |