Electronic Resource
Springer
General relativity and gravitation
24 (1992), S. 17-33
ISSN:
1572-9532
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract The strength of Einstein's empty-space field equations is computed anew and shown to be equal to the amount of initial data required for a local solution of the equations. This same amount of initial data is shown to be precisely that required for a set of 16 unknown first-order differential equations containing 10 field variables and having six identities of second order. The 10 field variables must be functions of second order in the metric coefficients. The 16 field equationsC αβμσ ,α = 0 whereC αβμσ is Weyl's conformal tensor, are shown to have the same properties as those of the unknown equations, suggesting thatC αβμσ = 0 is a satisfactory local first-order formulation of Einstein's second-order empty-space field equations.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00756871
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