About The Two Possible Writings
We have seen, neglecting the terms of order and, that the Laue scalar could be written:
which gives the corresponding Einstein's constant:
But another valid choice for writing the form of the stress-energy tensor is:
Neglecting the same term orders, the corresponding Laue scalar is:
which owns an additional term c2, so the corresponding Einstein's constant in the field equations is then:
This is just a question of similar choices, since for each chosen writing the Einstein field equations are the same.
Read more about this topic: Einstein's Constant
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“An able reader often discovers in other people’s writings perfections beyond those that the author put in or perceived, and lends them richer meanings and aspects.”
—Michel de Montaigne (1533–1592)