2011/12/07 by В. Д. Иващук, Ivashchuk, V. D.
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.1112.1706
openalex publication_date 2011/12/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A family of spherically O(d0 + 1)-symmetric solutions in the model with m-component anisotropic fluid is obtained. The metrics are defined on a manifold which contains a product of n-1 Ricci-flat ``internal'' spaces. The equation of state for any s-th component is defined by a vector Us = (Usi) belonging to Rn + 1 and obeying inequalities Us1 = qs > 0, s = 1, …,m. The solutions are governed by moduli functions Hs which are solutions to (master) non-linear differential equations with certain boundary conditions imposed. It is shown that for coinciding qs = q there exists a subclass of solutions with a horizon when q = 1, 2, … and Us-vectors correspond to certain semisimple Lie algebras. An extension of these solutions to block-orthogonal set of vectors Us with natural parameters qs coinciding inside blocks is also proposed. q-analogues of black brane/hole solutions are presented, e.g. generalising M2 ∩ M5 dyonic solution in D =11 supergravity and Myers-Perry charged black hole solution in dimension D = 2 + d0.