RADIATIVE EINSTEIN-MAXWELL SPACETIMES AND NO-HAIR THEOREMS

被引:19
作者
SIMON, W
机构
[1] Inst. fur Theor. Phys., Wien Univ.
关键词
D O I
10.1088/0264-9381/9/1/022
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Friedrich's construction of purely radiative solutions out of static, asymptotically flat solutions of Einstein's vacuum equations is generalized to the Einstein-Maxwell case. These radiative solutions can be considered as being conformal and analytic extensions, to neighbourhoods of infinity, of local solutions to a certain time-symmetric initial value problem. We point out that the non-existence of non-trivial global solutions to the corresponding constraints provides the basis for known uniqueness proofs for static, asymptotically flat black-hole and perfect-fluid solutions. We also obtain a uniqueness theorem for static, charged perfect fluids whose equation of state belongs to a certain one-parameter family.
引用
收藏
页码:241 / 256
页数:16
相关论文
共 41 条
[21]   NEW SOLUTIONS OF EINSTEIN-MAXWELL EQUATIONS FROM OLD [J].
HARRISON, BK .
JOURNAL OF MATHEMATICAL PHYSICS, 1968, 9 (11) :1744-&
[22]   SYMMETRIES OF THE STATIONARY EINSTEIN-MAXWELL-EQUATIONS .6. TRANSFORMATIONS WHICH GENERATE ASYMPTOTICALLY FLAT SPACETIMES WITH ARBITRARY MULTIPOLE MOMENTS [J].
HOENSELAERS, C ;
KINNERSLEY, W ;
XANTHOPOULOS, BC .
JOURNAL OF MATHEMATICAL PHYSICS, 1979, 20 (12) :2530-2536
[23]   MULTIPOLE MOMENTS OF ELECTROSTATIC SPACE-TIMES [J].
HOENSELAERS, C .
PROGRESS OF THEORETICAL PHYSICS, 1976, 55 (02) :466-470
[24]   EVENT HORIZONS IN STATIC VACUUM SPACE-TIMES [J].
ISRAEL, W .
PHYSICAL REVIEW, 1967, 164 (05) :1776-+
[25]   STRUCTURE OF GRAVITATIONAL SOURCES [J].
JANIS, AI ;
NEWMAN, ET .
JOURNAL OF MATHEMATICAL PHYSICS, 1965, 6 (06) :902-&
[26]   CONSTRUCTION AND CHARACTERIZATION OF GRAVITATIONAL-FIELDS [J].
KRAMER, D ;
STEPHANI, H ;
NEUGEBAUER, G .
FORTSCHRITTE DER PHYSIK, 1972, 20 (01) :1-+
[28]   A CLASS OF EXACT SOLUTIONS OF EINSTEIN FIELD EQUATIONS [J].
MAJUMDAR, SD .
PHYSICAL REVIEW, 1947, 72 (05) :390-398
[29]   A PROOF OF THE UNIQUENESS OF STATIC STELLAR MODELS WITH SMALL D-RHO/DP [J].
MASOODULALAM, AKM .
CLASSICAL AND QUANTUM GRAVITY, 1988, 5 (03) :409-421
[30]  
MORREY CB, 1958, AM J MATH, V80, P198, DOI 10.2307/2372830