Relativity and Cosmology

    

Regular Metric Tensor for Relativistic Gravitational Field

Authors: Sergio de Azevedo Melo

The metric tensor defines the geometry of spacetime in General Relativity. Although it satisfies the field equations, the tensor obtained by Application of the Newtonian limit to the vacuum Schwarzschild solution presents discontinuity in the mapping of the metric by the gravitational field, resulting in undefined points.Considering the superimposition of the kinematic effect on the gravitational field in the Lorentz factor and a transformed Lagrangian function is presented in the study of total energy.The function caters for relativistic speeds in energy expressions and avoids low speed limitation. Extrapolation of the weak field condition is addressed by mapping the rest energy.A regular metric tensor in spacetime is obtained for the condition of a stationary universe, and it is pointed out how it differs from the Schwarzschild resolution and the resulting metric by Newtonian approximation.

Comments: 18 Pages. In Portuguese

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Submission history

[v1] 2024-07-24 20:18:24 (removed)
[v2] 2025-01-27 17:59:46

Unique-IP document downloads: 184 times

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