## Exploring the Math in Killing Fields and Black Holes

Killing Vector Field The Killing vector field is a vector field on a differentiable manifold that preserves the metric over spacetime (from this I assume, in very basic terms, the Killing vector field ensures smoothness of the metric). Although time-like (c^2 dt^2 > dr^2) at infinity, it does not need to be time-like everywhere outside…

## Exploring the Energies in the Large Hadron Collider

The Large Hadron Collider has produced collisions at 7 TeV. For collisions at 7 TeV, protons need to be ‘ramped’ to 3.5 TeV, the proton has a mass of 1.6726e−27 kg which, according to mass–energy equivalence (E=mc^2), is 938.272 MeV where 1 eV= 1.6022e−19 Joules. The proton will be accelerated to 0.999999964c (11,103.4 revolutions of…

## Black Holes and the Properties of In-Falling Radial Plungers

From ‘Exploring Black Holes’ by John Wheeler and Edwin Taylor; can apply to any object falling radially towards a static spherical mass (where the mass of the in-falling object is much smaller than the static spherical mass).   Three types of in-falling radial plunger- Drip (dropped from rest at r_o) Rain (dropped from rest at…

## How to Calculate the Spin of Black Hole Sagittarius A*

This Insight takes a look at how it is possible to calculate the spin of Sagittarius A*, the supermassive black hole at the center of the Milky Way using some data and a few equations derived from Kerr metric. The following paper was used as a source- Spin and mass of the nearest supermassive black…

## Learn Time Dilation and Redshift for a Static Black Hole

The following is an overview of the time dilation and gravitational redshift effects of a static (Schwarzschild) black hole. In accordance with general relativity, a strong gravitational field can slow downtime. The closer you get to the event horizon of a black hole (if you can survive the gravity gradients, g-forces and have some means…