Goursat's problem and the holographic principle

被引：7

作者：

Alvarez, E ^{[1
]}

Conde, J

Hernández, L

机构：

[1] Univ Autonoma Madrid, Inst Fis Teor, CSIC, C XVI, E-28049 Madrid, Spain

[2] Univ Autonoma Madrid, Dept Fis Teor, C XI, E-28049 Madrid, Spain

来源：

NUCLEAR PHYSICS B | 2004年 / 689卷 / 03期

关键词：

D O I：

10.1016/j.nuclphysb.2004.04.015

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

The whole idea of holography as put forward by Gerard 't Hooft assumes that data on a boundary determine physics in the volume. This corresponds to a Dirichlet problem for Euclidean signature, or to a Goursat (characteristic) problem in the Lorentzian setting. Is this last aspect of the problem that is explored here for Ricci flat spaces with vanishing cosmological constant. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：257 / 291

页数：35

共 14 条

[1] Codimension-two holography [J].

Alvarez, E ;

Conde, J ;

Hernández, L .

NUCLEAR PHYSICS B, 2003, 663 (1-2) :365-376

[2]

[Anonymous], ADV THEOR MATH PHYS

[3] Exploring the holographic principle in asymptotically flat spacetimes via the BMS group [J].

Arcioni, G ;

Dappiaggi, C .

NUCLEAR PHYSICS B, 2003, 674 (03) :553-592

[4] QUANTUM FIELD-THEORY IN ANTI-DE SITTER SPACE-TIME [J].

AVIS, SJ ;

ISHAM, CJ ;

STOREY, D .

PHYSICAL REVIEW D, 1978, 18 (10) :3565-3576

[5] GRAVITATIONAL WAVES IN GENERAL RELATIVITY .7. WAVES FROM AXI-SYMMETRIC ISOLATED SYSTEMS [J].

BONDI, H ;

VANDERBU.MG ;

METZNER, AWK .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1962, 269 (1336) :21-&

[6] QUASI-LOCAL ENERGY AND CONSERVED CHARGES DERIVED FROM THE GRAVITATIONAL ACTION [J].

BROWN, JD ;

YORK, JW .

PHYSICAL REVIEW D, 1993, 47 (04) :1407-1419

[7] Energy of isolated systems at retarded times as the null limit of quasilocal energy [J].

Brown, JD ;

Lau, SR ;

York, JW .

PHYSICAL REVIEW D, 1997, 55 (04) :1977-1984

[8] Conserved currents and the energy-momentum tensor in conformally invariant theories for general dimensions [J].

Erdmenger, J ;

Osborn, H .

NUCLEAR PHYSICS B, 1997, 483 (1-2) :431-474

[9] The large-N limit of superconformal field theories and supergravity [J].

Maldacena, J .

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1999, 38 (04) :1113-1133

[10] *LINTEGRALE DE RIEMANN-LIOUVILLE ET LE PROBLEME DE CAUCHY [J].

RIESZ, M .

ACTA MATHEMATICA, 1949, 81 (01) :1-218

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