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OCTONIC GRAVITATIONAL FIELD EQUATIONS
International Journal of Modern Physics A, 2013Generalized field equations of linear gravity are formulated on the basis of octons. When compared to the other eight-component noncommutative hypercomplex number systems, it is demonstrated that associative octons with scalar, pseudoscalar, pseudovector and vector values present a convenient and capable tool to describe the Maxwell–Proca-like field ...
Demir, Süleyman +2 more
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Spherically Symmetric Gravitational Fields
Journal of Mathematical Physics, 1965It is shown that the Schwarzschild solution is the only spherically symmetric solution of the Einstein vacuum field equations, even when the differentiability of the metric is weakened to the extent of permitting solutions which are C0, piecewise C1. Petrov's purported counterexample is analyzed and shown to be essentially equivalent to Schwarzschild's
Bergmann, Peter +2 more
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Physical Review, 1963
A gravitational action operator is constructed that is invariant under general coordinate transformations and local Lorentz (gauge) transformations. To interpret the formalism the arbitrariness in description must be restricted by introducing gauge conditions and coordinate conditions.
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A gravitational action operator is constructed that is invariant under general coordinate transformations and local Lorentz (gauge) transformations. To interpret the formalism the arbitrariness in description must be restricted by introducing gauge conditions and coordinate conditions.
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Canadian Journal of Physics, 1971
An earlier, scalar theory of gravitation is assumed to be valid for a class of static gravitational fields. The theory is written in tensor form, and generalized to the case of an arbitrary gravitational field. The interaction between the field and its sources is discussed, and the linearized form of the field equations is derived.
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An earlier, scalar theory of gravitation is assumed to be valid for a class of static gravitational fields. The theory is written in tensor form, and generalized to the case of an arbitrary gravitational field. The interaction between the field and its sources is discussed, and the linearized form of the field equations is derived.
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Yang's Gravitational Field Equations.
Physical Review Letters, 1975Yang's gravitational field equations in vacuo can be regarded as "derivative" equations of both Einstein's equations and Nordstr\"om's equations, and embrace all their solutions. Yang's equations admit monopole gravitational radiations; therefore no analog of the Birkhoff theorem can be valid.
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Carmeli's Gravitational Field Equations
International Journal of Theoretical Physics, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Approximate gravitational field equations
Canadian Journal of Physics, 1980Two useful ways of approximating the exact gravitational field equations are described. In the first, the gravitational potential ψ is arbitrary and the spatial components of the covector field n are small; in the second, ψ is small and the spatial components of n are arbitrary.
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