Recent content by kirkr

Taking up your response at the formula for scalar arc length, $$L_{C}=\intop_{p_{1}}^{p_{2}}ds=r\intop_{p_{1}}^{p_{2}}\sqrt{\left(\frac{d\theta(p)}{dp}\right)^{2}+\sin^{2}\theta(p)\left(\frac{d\phi(p)}{dp}\right)^{2}}dp$$ You stated that if there is a function $$...

line element formula $$L_{C}=\intop_{p_{1}}^{p_{2}}ds=r\intop_{p_{1}}^{p_{2}}\sqrt{\left(\frac{d\theta(p)}{dp}\right)^{2}+\sin^{2}\theta(p)\left(\frac{d\phi(p)}{dp}\right)^{2}}dp$$...

https://www.physicsforums.com/threads/how-can-the-schwarzschild-solution-be-solved-in-a-spherical-space-with-a-constant-radius-and-constant-time.1051147/#post-6870714 I am not certain in what format I have to enter formulas in this forum. I used the Overleaf latex editor to translate the line...

Thank you for your reply. If I'm not mistaken, this solution looks something like a parameterization using p values on a one dimensional line. I had been trying to figure out how to make that conversion. I'll study this and get back to you with comments or possibly more questions. This is...

Thank You for your reply. It is good to know how my question is being viewed and interpreted. I am working on latex and will revise my question when I get a good translation. Meanwhile, I hope you will cope with my current version. I have pasted the shortened version of the Schwarzchild...

In 1916, Karl Schwarzschild was the first person to present a solution to Einstein's field equations. I am using a form of his equation that is presented in Tensors, Relativity and Cosmology by Mirjana Dalarsson and Nils Dalarsson (Chapter 19, p.205). I am approaching what may be the simplest...

Hi Peter Two of the sources that I have used are Tensors, Relativity and Cosmology, Dalarson Introduction to Cosmology, Narlikar

Thanks. I will review the Preposterous Universe link that you sent. Kirk

I am retired and as a hobby I am exploring Einstein relativity, black holes and other facets of Astronomy and Physics. I received a B.A. in Physics and Mathematics from the University of Kansas way back in 1970. I have worked in the medical field, electronics and the environmental field.

Schwarzschild Geometry-proper distance. From what I have studied when the Schwarzschild line element is evaluated at constant time and at a constant radius , proper distance becomes a Euclidean distance on the surface of a sphere. What I don't understand is how to evaluate the integral...