New Horizons in Mathematical Physics

Download PDF (210.3 KB) PP. 31 - 40 Pub. Date: June 30, 2021

DOI: 10.22606/nhmp.2021.52001

• Ali Rıza ŞAHİN^*
  Milli Eğitim Bakanlığı, İstanbul Atatürk Anadolu Lisesi, İstanbul, Turkey

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.

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

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