Open Access

# Ergoregions between two ergospheres

### Abstract

For a stationary spacetime metric, black holes are spatial regions out of which disturbances do not propagate. In our previous work an existence and regularity theorem was proven for black holes in two space dimensions, in the case where the boundary of the ergoregion is a simple closed curve surrounding a singularity. In this paper we study the case of an annular ergoregion, whose boundary has two components.

### Article Information

 Title Ergoregions between two ergospheres Source Methods Funct. Anal. Topology, Vol. 24 (2018), no. 2, 98-106 MathSciNet MR3827122 Copyright The Author(s) 2018 (CC BY-SA)

### Authors Information

Eskin, Gregory
Department of Mathematics, UCLA, Los Angeles, CA 90095-1555

Hall, Michael A.
Department of Mathematics, USC, Los Angeles, CA 90089-2532

### Citation Example

Gregory Eskin and Michael A. Hall, Ergoregions between two ergospheres, Methods Funct. Anal. Topology 24 (2018), no. 2, 98-106.

### BibTex

@article {MFAT1051,
AUTHOR = {Eskin, Gregory and Hall, Michael A.},
TITLE = {Ergoregions between two ergospheres},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {24},
YEAR = {2018},
NUMBER = {2},
PAGES = {98-106},
ISSN = {1029-3531},
MRNUMBER = {MR3827122},
URL = {http://mfat.imath.kiev.ua/article/?id=1051},
}

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