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Lifshitz black holes in Einstein-Yang-Mills theory

2014/01/26 by Deniz Olgu Devecioğlu, Deniz Olgu Devecioglu
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Cosmological constant #Cosmology and Gravitation Theories #Einstein #Event horizon #Field (mathematics) #Gauge theory #Horizon #Infinity #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Spacetime #Theoretical physics #Yang–Mills existence and mass gap #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.89.124020

published as Phys. Rev. D 89, 124020 (2014) · 23 pages, 8 figures; ver 2: added a new reference

arxiv created 2014/01/26 · openalex publication_date 2014/06/16 · arxiv updated 2014/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We find that the four-dimensional cosmological Einstein-Yang-Mills theory with SU(2) gauge group admits Lifshitz spacetime as a base solution for the dynamical exponent z>1. Motivated by this, we next demonstrate numerically that the field equations admit black hole solutions which behave regularly on the horizon and at spatial infinity for different horizon topologies. The solutions depend on one parameter, the strength of the gauge field at the horizon, which is fine-tuned to capture the Lifshitz asymptotics at infinity. We also discuss the behavior of solutions and the change in Hawking temperature for black holes that are large or small with respect to the length scale L, which is itself fixed by the value of the cosmological constant.

Citations