# Alan Parry

Utah Valley University

800 West University Parkway

Orem, Utah

ArXiv: A Survey of Spherically Symmetric Spacetimes

_______Spherically Symmetric Static States of Wave Dark Matter

CV (PDF)

Homepage

Researchgate

First email: 6 July 2019

Dear Prof. Dr. Alan Parry:

I hadn’t realized that “spherically symmetric spacetimes” had become a discipline specialty; and I was delighted to find your survey (however difficult for me) at this stage in my academic development. I will be asking for a little guidance from Steven Strogatz of Cornell so I do not read too much into the processes that have been defined to date. That’s my problem. I am prone to read too much into data where I do not comprehend the boundary conditions.

Particularly, I would also ask you if you think the Fourier transform has any bearing on your insights within your survey? Strogatz wrote a sensational “Pi Day” article in 2015 that opened that door for me. It was published in none other than *The New Yorker*!

Thank you for your work in 2012 and 2014 to publish and update your earlier articles: https://arxiv.org/abs/1210.5269

Most sincerely,

Bruce

# Spherically symmetric spacetimes

This section of this page will be developed in conjunction with another about the Fourier transform and harmonic analysis.

**Wikipedia**: “Spherical symmetry is a characteristic feature of many solutions of Einstein’s field equations of general relativity, especially the Schwarzschild solution and the Reissner–Nordström solution. A spherically-symmetric spacetime can be characterized in another way, namely, by using the notion of Killing vector fields, which, in a very precise sense, preserve the metric.” See: proper time. …the radial derivative of the circumferential radius in a freely-falling frame; this becomes explicit in the tetrad formalism. Also: https://en.wikipedia.org/wiki/Spin_connection

**Spherically-symmetric solutions**

- In general relativity w/ Do Young Kim, Anthony N. Lasenby, Michael P. Hobson https://arxiv.org/abs/1604.06365