A COMPLEX FINSLER APPROACH OF GRAVITY

Author:

MUNTEANU GHEORGHE1,ALDEA NICOLETA1

Affiliation:

1. Faculty of Mathematics and Informatics, Transilvania University, Iuliu Maniu 50, Braşov 500091, Romania

Abstract

In this paper our aim is mainly to obtain a two-dimensional complex Finsler model of the real gravitation space-time. We prove that, at least in the special case of the weakly gravitational field, this is possible and it leads to some interesting geometrical and physical aspects, such as the study of curvature invariants with respect to complex Berwald frame, intensively studied recently by us for a two-dimensional complex Finsler space. A generalization of the Klein–Gordon equation is proposed and we find solutions which are in concordance to the classical plane wave solution of momentum-energy relation. The last part of the paper is devoted to some applications in which the complex gravitational potential leads to the Bergman metric and to a more general case which leads to a non-purely Hermitian complex Finsler metric, with negative curvature invariant.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A generalized Schrödinger equation via a complex Lagrangian of electrodynamics;Journal of Nonlinear Mathematical Physics;2021

2. The warped product of holomorphic Lie algebroids;Analele Universitatii "Ovidius" Constanta - Seria Matematica;2020-03-01

3. Biharmonic maps from Finsler spaces;Publicationes Mathematicae Debrecen;2014-05-01

4. NEW CANDIDATES FOR A HERMITIAN APPROACH OF GRAVITY;International Journal of Geometric Methods in Modern Physics;2013-08-30

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