Relativity and Cosmology


A Non-Vanishing Cosmological Constant is Geometrodynamically Prohibited

Authors: K. Sandale

If one solves the electromagnetic wave equation in the Lorenz gauge for a charged particle moving with a uniform velocity, and then inserts this solution into the gauge condition, mathematically one gets the result that the current density must be the charge density times the velocity. Thus the field equations of electromagnetism through the gauge condition imply a correct velocity requirement for the current density four-vector, much like the field equations of General Relativity imply through the Bianchi Identities a correct acceleration requirement. Likewise we can construct a velocity requirement for the stress-energy tensor from the gauge condition of the Linear Field Equations of gravitation. However, the correct velocity relationship will be implied only if the cosmological constant vanishes. Thus the cosmological constant must vanish.

Comments: 14 Pages.

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Submission history

[v1] 2012-01-12 10:06:46

Unique-IP document downloads: 78 times

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