Thermodynamics of graviton condensate

Abstract In this work, we present the thermodynamic study of a model that considers black hole as condensate gravitons. model, spacetime is not asymptotically flat because topological defect introduces an angle deficit in like Global Monopole solutions. We have obtained correction to Hawking temperature plus negative pressure associated with mass M . way, graviton condensate, which assumed be at critical point defined by condition $$\mu _{ch}=0,$$ μ ch = 0 , has well-defined quantities P , V $$T_{h}$$ T h S and U any other Bose–Einstein (BEC). addition, formal equivalence between Letelier line element describes condensate. also discuss Kiselev hole, can parametrize most well-known spherically symmetric holes. Finally, new metric, will call BEC–Kiselev solution, allows us extend case solutions different matter contents.