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5D space-time-mass gravity theory with off-diagonal components in the metric tensor

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Abstract

The origin of matter and the nature of diagonalization are studied in the framework of 5D STM gravity theory with off-diagonal components in the metric tensor. The time of change of mass is presented with a simple cosmological solution and the 5D geodesic equations. In the special case, our solution can be compared to Chodos and Detweiler's (1982) procedure assuming that the metric possesses a spacelike Killing vector.

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References

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Fukui, T. 5D space-time-mass gravity theory with off-diagonal components in the metric tensor. Astrophys Space Sci 146, 13–18 (1988). https://doi.org/10.1007/BF00656976

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Keywords

  • Gravity Theory
  • Killing Vector
  • Geodesic Equation
  • Cosmological Solution
  • Spacelike Killing Vector