DERIVATION OF 10 EINSTEIN FIELD EQUATIONS FROM SEMICLASSICAL APPROXIMATION TO QUANTUM GEOMETRODYNAMICS

被引:93
作者
GERLACH, UH
机构
来源
PHYSICAL REVIEW | 1969年 / 177卷 / 5P1期
关键词
D O I
10.1103/PhysRev.177.1929
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
All ten Einstein field equations are derived from (a) a single equation, the Einstein-Hamilton-Jacobi equation for general relativity, and (b) the principle of constructive interference of de Broglie waves in superspace. In this derivation one obtains by introducing Tomonaga's many-time parametrization the manifestly covariant Hamiltonian equations of general relativity. © 1969 The American Physical Society.
引用
收藏
页码:1929 / &
相关论文
共 52 条
  • [1] DYNAMICAL STRUCTURE AND DEFINITION OF ENERGY IN GENERAL RELATIVITY
    ARNOWITT, R
    DESER, S
    MISNER, CW
    [J]. PHYSICAL REVIEW, 1959, 116 (05): : 1322 - 1330
  • [2] ARNOWITT R, 1962, GRAVITATION INTRO CU, pCH7
  • [3] NON-LINEAR FIELD THEORIES
    BERGMANN, PG
    [J]. PHYSICAL REVIEW, 1949, 75 (04): : 680 - 685
  • [4] BERGMANN PG, 1962, STATUS REPORT QUANTI
  • [5] BIRKHOFF G, 1961, SURVEY MODERN ALGEBR, P366
  • [6] ROTATING MASSES AND THEIR EFFECT ON INERTIAL FRAMES
    BRILL, DR
    COHEN, JM
    [J]. PHYSICAL REVIEW, 1966, 143 (04): : 1011 - &
  • [7] Cartan E E., 1963, LECONS GEOMETRIE ESP
  • [8] CHIU HY, 1964, MACHS PRINCIPLE B ED
  • [9] COURANT R, 1962, METHODS MATHEMATICAL, V2, pCH1
  • [10] DESER S, 1967, ANN I H POINCARE A, V7, P149