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  Has the time-space curvature a complex form ; due to the complex form of time-space ?

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It is necessary for time-space curvature to be considered :

1-Rellationship between time factor and space factor .

2-Existence of complex material (mass) to make complex curvature (due to complex form of space-time).

Why haven't considered ?

asked Apr 13, 2018 in Q&A by seyedmohammad mohammadi [ revision history ]

If your spacetime manifold admits a complex structure, then you can use complex coordinates to express curvature forms. You can find it from the book "Geometry, Topology and Physics" by Nakahara.

1 Answer

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You are taking space time curvature way to literally. Think of it as as mass increases in a confined space -> harder for any single unit of such mass in that space to move -> unit of mass therefore must move slower because no room to move -> therefore it appears that time is slowing down for such mass (this is called both gravity and gravitational time dilation - one and the same thing). When things move in space time they are impacted by various differences in levels of mass in the "mass in a confined space" so things in space time slow and go faster accordingly - > this gives appearance of curves in space time.

answered Feb 11 by anonymous [ no revision ]

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