Embeddings in non-vacuum spacetimes

被引：31

作者：

Anderson, E ^{[1
]}

Lidsey, JE ^{[1
]}

机构：

[1] Univ London, Sch Math Sci, Astron Unit, London E1 4NS, England

来源：

CLASSICAL AND QUANTUM GRAVITY | 2001年 / 18卷 / 22期

关键词：

D O I：

10.1088/0264-9381/18/22/309

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A scheme is discussed for embedding n-dimensional, Riemannian manifolds in an (n + 1)-dimensional Einstein space. Criteria for embedding a given manifold in a spacetime that represents a solution to Einstein's equations sourced by a massless scalar field are also discussed. The embedding procedures are illustrated with a number of examples.

引用

页码：4831 / 4843

页数：13

共 49 条

[1] Supersymmetric brane-worlds
Alonso-Alberca, N
Meessen, P
Ortín, T
[J]. PHYSICS LETTERS B, 2000, 482 (04) : 400 - 408
[2] A small cosmological constant from a large extra dimension
Arkani-Hamed, N
Dimopoulos, S
Kaloper, N
Sundrum, R
[J]. PHYSICS LETTERS B, 2000, 480 (1-2) : 193 - 199
[3] The hierarchy problem and new dimensions at a millimeter
Arkani-Hamed, N
Dimopoulos, S
Dvali, G
[J]. PHYSICS LETTERS B, 1998, 429 (3-4) : 263 - 272
[4] Spacetime and the holographic renormalization group
Balasubramanian, V
Kraus, P
[J]. PHYSICAL REVIEW LETTERS, 1999, 83 (18) : 3605 - 3608
[5] Branes, AdS gravitons, and Virasoro symmetry -: art. no. 081901
Bañados, M
Chamblin, A
Gibbons, GW
[J]. PHYSICAL REVIEW D, 2000, 61 (08)
[6] Bars I, 1998, PHYS REV D, V58, DOI 10.1103/PhysRevD.58.066004
[7] On Riemann spaces conformal to Euclidean space
Brinkmann, HW
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1923, 9 : 1 - 3
[8] Mass hierarchy and localization of gravity in extra time
Chaichian, M
Kobakhidze, AB
[J]. PHYSICS LETTERS B, 2000, 488 (02) : 117 - 122
[9] Nonlinear supergravity on a brane without compactification
Chamblin, A
Gibbons, GW
[J]. PHYSICAL REVIEW LETTERS, 2000, 84 (06) : 1090 - 1093
[10] Brane-world creation and black holes
Garriga, J
Sasaki, M
[J]. PHYSICAL REVIEW D, 2000, 62 (04) : 1 - 8

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