Differences between scalar field and scalar density solutions
Nurettin Pirin\c{c}\c{c}io\~glu, and Ilker Sert
TL;DR
This paper compares scalar field and scalar density solutions in cosmological and post-Newtonian contexts, deriving a Hamiltonian for scalar density and analyzing differences in universe expansion and Klein-Gordon solutions.
Contribution
It introduces a Hamiltonian for scalar density fields and systematically compares their solutions with scalar fields in cosmological and post-Newtonian frameworks.
Findings
Scalar density solutions differ from scalar field solutions in key aspects.
Derived a non-relativistic Hamiltonian for scalar density fields.
Identified differences in universe expansion behavior and Klein-Gordon solutions.
Abstract
We explore differences between scalar field, and scalar density solutions by using Robertson-Walker (RW) metric, and also a non-relativistic Hamiltonian is derived for a scalar density field in the post-Newtonian approximation. The results are compared with those of scalar field. The expanding universe in RW metric, and post-Newtonian solution of Klein-Gordon equation are separately discussed.
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