New Horizons in Mathematical Physics

NHMP
>
Volume 5, Number 2, June 2021

Field Approach for General Relativity
DOI:

10.22606/nhmp.2021.52001
**Author(s)**
Ali Rıza ŞAHİN

**Affiliation(s)**
Milli Eğitim Bakanlığı, İstanbul Atatürk Anadolu Lisesi, İstanbul, Turkey

**Abstract**
The general theory of relativity is based on expressing gravity by means of the metric tensor
and its elements instead of some fields as in electrodynamics. This work starts with by defining some
vector fields for metric or metric tensor. After metric and metric tensor are expressed in terms of these
fields, the geodesic equations and Einstein equations are derived for these fields. Finally, perihelion
precession and light deflection are recalculated, as two different applications of the introduced fields.

**Keywords**
metric tensor, geodesic equations, Lorentz force, Einstein equations, Maxwell equations
Schwarzschild metric, perihelion precession, light deflection.

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