Generalized Metrical Multi-Time Lagrange Model for General Relativity and Electromagnetism

The Generalized Metrical Multi-Time Lagrange Space of Relativistic Geometrical Optics

The paper constructs a generalized metrical multi-time Lagrange space, which allows a natural development of relativistic geometrical optics theories, in a general setting.

Generalized Metrical Multi-Time Lagrange Geometry of Physical Field

The paper developes a geometrization of a Kronecker $h$-regular vertical fundamental metrical d-tensor $G^{(α)(β)}_{(i)(j)}$ on the jet fibre bundle of order one $J^1(T,M)$. This geometrization gives a mathematical model for both gravitational and electromagnetic field theory, in a general setting. In this context, the Einstein and Maxwell equations are described.

The Geometry of Autonomous Metrical Multi-Time Lagrange Space of Electrodynamics

The paper contains a geometrization of the autonomous multi-time Lagrangian function of electrodynamics. We point out that this multi-time Lagrangian function comes from electrodynamics and the theory of bosonic strings.

Metrical Multi-Time Lagrange Geometry of Physical Fields

The author exposes the metrical multi-time Lagrange geometry of physical fields which naturally generalizes the classical Lagrangian developped by Miron and Anastasiei. In other words, one constructs a natural theory of physical fields on the 1-jet fibre bundle, attached to a Kronecker h-regular multi-time Lagrangian with partial derivatives of order one.

The Geometry of Metrical Multi-time Lagrange Spaces

A geometrization of a Kronecker $h$-regular multi-time Lagrangian function with partial derivatives of order one is described, in the sense of d-connections, d-torsions and d-curvatures.

广义相对论中非真空初始数据集共形构造的相空间方法

A Phase Space Approach to the Conformal Construction of Non-Vacuum Initial Data Sets in General Relativity

本文提出一种统一标度物质场的相空间方法，用于构造带耦合物质源的 Einstein 约束方程解，证明固定共形不变量可使约束方程半解耦，并为多种物质模型提供了标度规则的理论基础及新方程。