Universality of isothermal fluid spheres in Lovelock gravity
Abstract
We show universality of isothermal fluid spheres in pure Lovelock gravity where the equation of motion has only one N th order term coming from the corresponding Lovelock polynomial action of degree N . Isothermality is characterized by the equation of state, p =α ρ and the property, ρ ̃1 /r^{2 N} . Then the solution describing isothermal spheres, which exist only for the pure Lovelock equation, is of the same form for the general Lovelock degree N in all dimensions d ≥2 N +2 . We further prove that the necessary and sufficient condition for the isothermal sphere is that its metric is conformal to the massless global monopole or the solid angle deficit metric, and this feature is also universal.
 Publication:

Physical Review D
 Pub Date:
 February 2016
 DOI:
 10.1103/PhysRevD.93.044072
 arXiv:
 arXiv:1510.07490
 Bibcode:
 2016PhRvD..93d4072D
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 11 pages