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Zeidler, E. (1990) Nonlinear Functional Analysis and Its Applications II/B: Nonlinear Monotone Operators. Springer.
https://doi.org/10.1007/978-1-4612-0981-2

has been cited by the following article:

• TITLE: The Gravitational Field Equation on NUVO Space

  AUTHORS: Rickey W. Austin

  KEYWORDS: NUVO Space, Conformal Scalar Field, Weighted Geometry, Scalar Curvature, Variational Structure, Energy-Momentum Conservation, Weak-Field Limit

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.12, December 8, 2025

  ABSTRACT: We derive the gravitational field equation on NUVO space ( M,g ) , where g= λ 2 η with η flat and λ>0 smooth. Starting from the scalar curvature functional and the λ -weighted calculus developed in NUVO Space I-II, we perform a constrained conformal variation to obtain the dynamical equation for λ and its coupling to matter via the trace of the energy-momentum tensor. We show that diffeomorphism invariance implies energy-momentum conservation ∇ g ⋅T=0 and recover a λ -weighted continuity relation for the sinertia current J μ =λρ u μ . In the weak-field limit the field equation reduces to a Poisson-type equation for λ , yielding the Newtonian regime and setting the stage for a post-Newtonian (PPN) analysis in subsequent work.