Horizons versus singularities in spherically symmetric space-times

We discuss different kinds of Killing horizons possible in static, spherically symmetric configurations and recently classified as "usual," "naked," and "truly naked" ones depending on the near-horizon behavior of transverse tidal forces acting on an extended body. We obtain the necessary conditions for the metric to be extensible beyond a horizon in terms of an arbitrary radial coordinate and show that all truly naked horizons, as well as many of those previously characterized as naked and even usual ones, do not admit an extension and therefore must be considered as singularities. Some examples are given, showing which kinds of matter are able to create specific space-times with different kinds of horizons, including truly naked ones. Among them are fluids with negative pressure and scalar fields with a particular behavior of the potential. We also discuss horizons and singularities in Kantowski-Sachs spherically symmetric cosmologies and present horizon regularity conditions in terms of an arbitrary time coordinate and proper (synchronous) time. It turns out that horizons of orders 2 and higher occur in infinite proper times in the past or future, but one-way communication with regions beyond such horizons is still possible. © 2008 The American Physical Society.

Авторы
Bronnikov K.A. 1, 2 , Elizalde E.3 , Odintsov S.D.4, 5 , Zaslavskii O.B.6
Номер выпуска
6
Язык
Английский
Статус
Опубликовано
Номер
064049
Том
78
Год
2008
Организации
  • 1 Center for Gravitation and Fundamental Metrology, VNIIMS, 46 Ozyornaya Street, Moscow 119361, Russian Federation
  • 2 Institute of Gravitation and Cosmology, PFUR, 6 Miklukho-Maklaya Street, Moscow 117198, Russian Federation
  • 3 Consejo Superior de Investigaciones Científicas ICE/CSIC-IEEC, Campus UAB, Facultat de Ciències, Torre C5-Parell-2a pl, E-08193 Bellaterra (Barcelona), Spain
  • 4 Instituciò Catalana de Recerca I Estudis Avançats (ICREA), Institut de Ciències de l'Espai (IEEC-CSIC), Facultat de Ciències, Torre C5-Parell-2a pl, E-08193 Bellaterra (Barcelona), Spain
  • 5 Laboratory for Fundamental Studies, Tomsk State Pedagogical University, Tomsk, Russian Federation
  • 6 Astronomical Institute of Kharkov V.N. Karazin National University, 35 Sumskaya Street, Kharkov, 61022, Ukraine
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/3060/
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