Two-axes pseudo-Finsleroid metrics: general overview and angle-regular solution

TL;DR

This paper introduces and analyzes a class of two-axes pseudo-Finsleroid metrics characterized by angle separation, deriving the necessary equations and presenting a detailed angle-regular solution.

Contribution

It provides a comprehensive set of algebraic and differential equations for this metric class and offers a novel angle-regular solution within the pseudo-Finsleroid framework.

Findings

Derived necessary and sufficient equations for the metric class

Established the solvability of the equations

Presented a detailed angle-regular solution

Abstract

The class of the two-axes pseudo-Finslerian metrics which is specified by the condition of the angle-separation in the involved characteristic functions is proposed and studied. The complete Total Set of algebraic and differential equations is derived in all rigor which are necessary and sufficient in order that a pseudo-Finsleroid metric function belong to the class. It proves possible to solve the equations of the set. The angle-regular solution of the Finsleroid-in-pseudo-Finsleroid type is found and described in detail.