"Koobee Wublee" <koobee.wublee@gmail.com> wrote in message news:c6f69529-d2b8-49b9-9066-e8f6ab16a735@o36g2000vbi.googlegroups.com...
A: Oh, yes. Koobee Wublee raises his hand.
Q: What are solutions to the field equations that are static, spherically symmetric, and asymptotically flat?
A: There was Schwarzschilds original solution. He knew by selecting a metric with a determinant of -1, the Ricci curvature tensor can be drastically reduced. In doing so, he had to transform his coordinate to another one that results in the metric with a determinant of -1. After he obtained the solution, to comply with the rules of mathematics, he must covert his solution back to the original spherically symmetric polar coordinate system. Although his original solution has nothing like the Schwarzschild metric and does not manifest any black holes, nevertheless his solution before the transformation resembles the Schwarzschild metric in some way.
Q: Then, who actually came up with the Schwarzschild metric?
A: It was none other than the wizard himself --- Hilbert.
Q: So, the following is also a solution that does not manifest any black holes, to the field equations, that is static, spherically symmetric, and asymptotically flat. What is the basis that it is a coordinate transformation of the Schwarzschild metric but not the other way around?
ds^2 = c^2 T dt^2 / (1 + 2 K / r) (1 + 2 K / r) dr^2 (r + K)^2 dO^2
A: Beats me. It is a religious belief thing. <shrug> .................................................................................................. ....................................................................................................
