On the derivation of several second order partial differential equations from a generalization of the Einstein equation

2016/03/15 by Makoto Nakamura, Nakamura, Makoto
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.1603.04543

openalex publication_date 2016/03/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A generalization of the Einstein equation is considered for complex line elements. Several second order semilinear partial differential equations are derived from it as semilinear field equations in uniform and isotropic spaces. The nonrelativistic limits of the field equations are also considered. The roles of spatial variance are studied based on energy estimates,and several dissipative or antidissipative properties are remarked.

Citations

• Über einen die Erzeugung und Verwandlung des Lichtes betreffenden heuristischen Gesichtspunkt
• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant

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