Date: Feb 11, 2013 1:23 PM
Author: Koobee Wublee
Subject: Re: Charged mass exact solutions to Einstein's field equations
On Feb 10, 5:36 pm, David Waite wrote:

> Implications of new exact solutions of Einstein's field

> equations I've found and a particular coordinate expression

> of the charged black hole solution are discussed at the video link

> https://www.youtube.com/watch?v=M1WcSCsCFck

The Reissner-Nordstrom metric has the following form:

** ds^2 = c^2 T (1 ? K / r + L / r^2) dt^2

- dr^2 / (1 ? K / r + L / r^2) ? r^2 dO^2

Where

** T, K, L = Constants

** dO^2 = cos^2(Latitude) dLongitude^2 + dLatitude^2

Well, it does not satisfy the vacuum field equations unless (L = 0)

which becomes the Schwarzschild metric. Thus, the Reissner-Nordstrom

metric is wrong. The closest metric to Reissner-Nordstrom metric is

the one below.

** ds^2 = c^2 T (1 ? K / R) dt^2

- dr^2 (dR/dr)^2 / (1 ? K / R) ? R^2 dO^2

Where

** R = r / (1 ? L/K / r)

Torturously listening to these monotonous rambling at 1:30 into the

boring presentation, you showed the following metric as a

transformation for the good old Schwarzschild metric.

** ds^2 = c^2 dt^2 / (1 + K / r)^2

? (1 + K / r)^2 dr^2 ? (1 + K / r)^2 r^2 dO^2

The above metric is wrong in which it does not satisfy the null Ricci

tensor. The solution you are looking for is:

** ds^2 = c^2 T (1 ? K / R) dt^2

- dr^2 (dR/dr)^2 / (1 ? K / R) ? R^2 dO^2

Or

** ds^2 = c^2 dt^2 / (1 + K / r)

? (1 + K /r) dr^2 ? (1 + K / r)^2 r^2 dO^2

Where

** R = r + K

The metric above and the Schwarzschild metric are both valid solutions

to the null Ricci tensor. The Schwarzschild metric manifests black

holes in the infinite future, but the metric above does not. <shrug>

The Reisnner-Nordstrom metric has the electric static force obeying

the inverse cubed law instead of inverse squared law. The self-styled

physicists have a better chance of fudged Coulomb?s law with the

following modification to the Schwarzschild metric.

** ds^2 = c^2 (1 ? K / r + L / r) dt^2

- dr^2 / (1 ? K / r + L / r) ? r^2 dO^2

Where

** L = Constant that would make up Coulomb?s law

Waite is becoming an embarrassment to the Einstein Dingleberries, and

GR is becoming a bigger embarrassment to self-styled physicists.

<shrug>