ISSN:
1572-9516
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract The Einstein equations can be written as Fierz-Pauli equations with self-interaction, $$W\gamma _{ik} = - G_{ik} + \tfrac{1}{2}g_{ik} g^{mn} G_{mn} - k(T_{ik} - \tfrac{1}{2}g_{ik} g^{mn} T_{mn} )$$ together with the covariant Hilbert-gauge condition, $$(\gamma _i^h - \tfrac{1}{2}\delta _i^k g^{mn} \gamma _{mn} )_{;k} = 0$$ where W denotes the covariant wave operator and G ik the Einstein tensor of the metric g ik collecting all nonlinear terms of Einstein's equations. As is known, there do not, however, exist plane-wave solutions γ ik(z)with g ik Z,i Z,k=0of these equations such that what is essential to the introduction of gravitons is not satisfied in general relativity. This nonexistence corresponds with the uncertainty relation,Δp(Δg*)2(Δx)3≥h hG/ c 3 concerning the total nonlinear gravitational field g *ik =g k +γ k .
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02067656
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