ar X iv : g r - qc / 9 60 60 19 v 1 1 0 Ju n 19 96 The Gravitational Energy of a Point Mass is Finite

We argue that our gravitation equations [1] in the flat space-time lead to the finite proper gravitational energy of a point mass. 1 The Gravitation Equations Perhaps [2] , gravitation can be described by a tensor field ψ µν in flat space-time and the Lagrangian action for the test point masses m in this field is of the form L = −mc[g αβ (ψ) ˙ x α ˙ x β ] 1/2 , (1) where ˙ x α = dx α /dt and g αβ is a symmetric tensor whose components are the function of ψ αβ. The field ψ µν in flat space-time is an analog of the potential A µ of the electromagnetic field. Therefore the field equations for g µν (ψ) must be invariant under the gauge transformations ψ µν → ψ µν ¿. The simplest equations of such a kind where proposed in paper [1]. The equations can be written in the form B α βγ,α − B ν βµ B µ γν = 0 , (2) where the comma denotes the covariant derivative with respect to the metric tensor η µν in pseudo-Euclidean space-time E.