Anyon black holes

Exact anyon black hole solutions

“…Therefore, one can conclude that the anyon VdW solutions with b > 0 are physically unacceptable. This is consistent with the small effective pressure limit [20] and the standard VdW case [19]. Similarly, one can construct the consistent anyon VdW solutions as a near horizon metric [19], which satisfies the energy conditions at least in a region close to the horizon.…”

“…• The exact anyon VdW solutions with b > 0 are physically un-acceptable in the global spacetime. However they are acceptable near the horizon, which is consistent with the small effective pressure limit [20] and the standard VdW case [19]. • Especially for the reduced case b = 0, there is an anyon black hole taking the precisely same thermodynamical properties with the gas of "interacting point particle" (IPP).…”

“…In this paper, we present the exact anyon solutions, and find some different but interesting results comparing with the socalled small effective pressure limit anyon black hole [20] and standard VdW solutions [19], including:…”

“…Anyons follow the fractional statistics in two spatial dimensions [21][22][23][24], which is actually intermediate statistics between Fermi-Dirac and Bose-Einstein statistics [23,25]. The authors declare that, under the small effective pressure limit, there is physical anyon black hole solutions taking the same thermodynamic properties with the anyon VdW fluid exhibiting a quasi Bose-Einstein statistics [20].…”

“…Recently, the study extends to construct the quantitative analogy between black holes with an quantum thermodynamical system, i.e. anyons system [20]. Anyons follow the fractional statistics in two spatial dimensions [21][22][23][24], which is actually intermediate statistics between Fermi-Dirac and Bose-Einstein statistics [23,25].…”