General static black holes in matter

For arbitrary static spacetimes, it is shown that an equilibrium between a Killing horizon and matter is only possible for some discrete values of the parameter w = p1/ρ, where ρ is the density and p1 is the pressure in the direction normal to the horizon. In the generic situation of a simple (non-extremal) horizon and the slowest possible density decrease near the horizon, this corresponds to w = -1/3, the value known for a gas of disordered cosmic strings. An admixture of 'vacuum matter', characterized by w = -1 and nonzero density at the horizon, is also admitted. This extends the results obtained previously for static, spherically symmetric spacetimes. A new feature as compared to spherical symmetry is that higher order horizons can exist in the absence of vacuum matter if the horizon is a surface of zero curvature, which can occur, e.g., in cylindrically symmetric spacetimes. © 2009 IOP Publishing Ltd.

Авторы
Bronnikov K.A. 1, 2 , Zaslavskii O.B.3
Номер выпуска
16
Язык
Английский
Статус
Опубликовано
Номер
165004
Том
26
Год
2009
Организации
  • 1 Center for Gravitation and Fundamental Metrology, VNIIMS, 46 Ozyornaya St., Moscow 119361, Russian Federation
  • 2 Institute of Gravitation and Cosmology, PFUR, 6 Miklukho-Maklaya St., Moscow 117198, Russian Federation
  • 3 Astronomical Institute of Kharkov, V.N. Karazin National University, 35 Sumskaya St., Kharkov, 61022, Ukraine
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/2905/