HAMILTONIAN APPROACH TO 2-DIMENSIONAL DILATON GRAVITIES AND INVARIANT ADM MASS

被引：32

作者：

BILAL, A

KOGAN, II

机构：

[1] Joseph Henry Laboratories, Princeton University, Princeton

[2] Laboratoire de Physique Théorique de l'Ecole Normale Supérieure, 75231 Paris Cedex 05

[3] ITEP, Moscow 117259

来源：

PHYSICAL REVIEW D | 1993年 / 47卷 / 12期

关键词：

D O I：

10.1103/PhysRevD.47.5408

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The formula existing in the literature for the Arnowitt-Deser-Misner (ADM) mass of two-dimensional (2D) dilaton gravity is incomplete. For example, in the case of an infalling matter shock wave this formula fails to give a time-independent mass, unless a very special coordinate system is chosen. We carefully carry out the canonical formulation of 2D dilaton gravity theories (classical, Callan-Giddings-Harvey-Strominger, and Russo-Susskind-Thorlacius). As in 4D general relativity one must add a boundary term to the bulk Hamiltonian to obtain a well-defined variational problem. This boundary term coincides with the numerical value of the Hamiltonian and gives the correct mass which obviously is time independent.

引用

页码：5408 / 5413

页数：6

共 15 条

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[Anonymous], 1973, GRAVITATION

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Arnowitt R, 1962, GRAVITATION INTRO CU

[3] LIOUVILLE MODELS OF BLACK-HOLE EVAPORATION [J].