10-DIMENSIONAL LOVELOCK-TYPE SPACE-TIMES

被引:32
作者
DEMARET, J
CAPRASSE, H
MOUSSIAUX, A
TOMBAL, P
PAPADOPOULOS, D
机构
[1] UNIV LIEGE, INST PHYS, B-4200 SART 1, BELGIUM
[2] FAC UNIV ND PAIX, PHYS MATH LAB, B-5000 NAMUR, BELGIUM
[3] UNIV THESSALONIKI, DEPT ASTRON, GR-54006 SALONIKA, GREECE
关键词
D O I
10.1103/PhysRevD.41.1163
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The correct field equations for several ten-dimensional Lovelock-type Lagrangians including terms up to fourth order in the curvature are given. They were deduced from a program which exploits the facilities of the differential package EXCALC. A first discussion of the obtained equations is presented. The justification of a conjecture made recently by Deruelle is given. Possible extensions of some previously obtained solutions of the field equations restricted to quadratic and cubic contributions are discussed. Finally, some errors in the existing literature are pointed out. © 1990 The American Physical Society.
引用
收藏
页码:1163 / 1171
页数:9
相关论文
共 43 条
[1]   SUPERGRAVITY LIMIT OF SUPERSTRING THEORY AND FRIEDMANN-ROBERTSON-WALKER COSMOLOGY [J].
BAILIN, D ;
LOVE, A ;
WONG, D .
PHYSICS LETTERS B, 1985, 165 (4-6) :270-274
[2]   THE STABILITY OF GENERAL RELATIVISTIC COSMOLOGICAL THEORY [J].
BARROW, JD ;
OTTEWILL, AC .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (12) :2757-2776
[3]  
BUCHDAHL HA, 1970, MON NOT R ASTRON SOC, V150, P1
[4]   VACUUM CONFIGURATIONS FOR SUPERSTRINGS [J].
CANDELAS, P ;
HOROWITZ, GT ;
STROMINGER, A ;
WITTEN, E .
NUCLEAR PHYSICS B, 1985, 258 (01) :46-74
[5]  
CAPRASSE H, 1989, LECT NOTES COMPUT SC, V358, P116
[6]   THE DILATON AND QUARTIC CURVATURE TERMS IN THE HETEROTIC STRING EFFECTIVE ACTION [J].
DANIEL, M ;
HOCHBERG, D ;
MAVROMATOS, NE .
PHYSICS LETTERS B, 1987, 187 (1-2) :79-84
[7]   CHAOS IN NON-DIAGONAL SPATIALLY HOMOGENEOUS COSMOLOGICAL MODELS IN SPACETIME DIMENSIONS LESS-THAN-OR-EQUAL-TO 10 [J].
DEMARET, J ;
DEROP, Y ;
HENNEAUX, M .
PHYSICS LETTERS B, 1988, 211 (1-2) :37-41
[8]   NON-OSCILLATORY BEHAVIOR IN VACUUM KALUZA-KLEIN COSMOLOGIES [J].
DEMARET, J ;
HENNEAUX, M ;
SPINDEL, P .
PHYSICS LETTERS B, 1985, 164 (1-3) :27-30
[9]   THE FATE OF THE MIXMASTER BEHAVIOR IN VACUUM INHOMOGENEOUS KALUZA-KLEIN COSMOLOGICAL MODELS [J].
DEMARET, J ;
HANQUIN, JL ;
HENNEAUX, M ;
SPINDEL, P ;
TAORMINA, A .
PHYSICS LETTERS B, 1986, 175 (02) :129-132
[10]   ON THE APPROACH TO THE COSMOLOGICAL SINGULARITY IN QUADRATIC THEORIES OF GRAVITY - THE KASNER REGIMES [J].
DERUELLE, N .
NUCLEAR PHYSICS B, 1989, 327 (01) :253-266