REMARKS ON THE DERIVATION OF SEVERAL SECOND ORDER PARTIAL DIFFERENTIAL EQUATIONS FROM A GENERALIZATION OF THE EINSTEIN EQUATIONS

Nakamura, Makoto

Osaka Journal of Mathematics, 2020, 57(2), 305-331

Number of Access:236（2025-09-01 15:37 Counts）

Identifier to cite or link to this item: https://doi.org/10.18910/75916

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Title
REMARKS ON THE DERIVATION OF SEVERAL SECOND ORDER PARTIAL DIFFERENTIAL EQUATIONS FROM A GENERALIZATION OF THE EINSTEIN EQUATIONS
Creator
NRID
1000070312634 1000070312634
researchmap permalink
MakotoNAKAMURA MakotoNAKAMURA
CreatorName
Nakamura, Makoto
Abstract
A generalization of the Einstein equations with the cosmological constant is considered for complex line elements. Several second order semilinear partial differential equations are derived from them as semilinear field equations in homogeneous and isotropic spaces. The nonrelativistic limits of the field equations are also considered. The properties of spatial expansion and contraction are studied based on energy estimates of the field equations. Several dissipative and anti-dissipative properties are remarked.
Publisher
Osaka University and Osaka City University, Departments of Mathematics
Source Title
Osaka Journal of Mathematics
Volume (Issue)
57(2)
Page
305-331
Date of Issued
2020-04
Language
English
Handle URL
https://hdl.handle.net/11094/75916
DOI
https://doi.org/10.18910/75916
PISSN
00306126
NCID
AA00765910
Access Rights
open access
oaire:version
Version of Record
Category
紀要論文 Departmental Bulletin Paper
Osaka Journal of Mathematics / Volume 57, Number 2 （2020-4）