Inside a Schwarzschild black hole

Hello and welcome

 

 Ever wondered what lies beyond the horizon of a black hole? Current thinking asserts any one of numerous outcomes; time travel, wormholes, being crushed to a point, or instead, perhaps a fiery end in a wall of flame, making it very hard to know what to believe. We offer a somewhat more prosaic answer; not nearly so exciting, but needing no extensions to existing theory, and as such, so more believable.

This is a new vision of what lies beyond the event horizon of a black hole. New, and as we will show later, testable and demonstrated by the otherwise unexplained presence of supermassive black holes. This will never be entirely understood without a smidgen of mathematics, but, if you have a basic college-level understanding, there should be nothing overly hard for you to follow. So let us just jump right in. 

Introduction

To begin with, here are a couple of basic facts about Einstein's theory of general relativity for any visitors who are new to this field. There is no dispute about these facts so I hope you will just accept them for now:

150px-Schwarzschild.jpg

Karl Schwarzschild (1873–1916)  

  1. The gravitational field around a non-rotating symmetrical body (such as a star, or a planet) is given by the Schwarzschild solution, originally developed by Karl Schwarzschild in 1916, just a year after Einstein announced his general theory of relativity: 
    \[ c^2d\tau ^2=\left(1-\frac {r_s}{r}\right)c^2dt^2 -\left(1-\frac {r_s}{r}\right)^{-1}dr^2-r^2\left(d\theta ^2+\sin ^2\theta \,d\varphi ^2\right) \]The key fact to notice about this equation is the first term which seems to 'blow up' when \(r=r_s\). This term is what gives rise to the event horizon.
  2. Birkhoff's theorem added that for any non-rotating spherically symmetric body, the exterior gravitational field in space must be static, with a metric given by a piece of the Schwarzschild metric. This sounds difficult but all this is saying is that there is only one solution, the Schwarzschild solution and that it is static - or unchanging.

An immediate consequence of Birkhoff’s theorem is that the field inside a symmetric non-rotating spherically shell of matter must be flat, or Minkowski space (the only piece of the Schwarzschild metric possible in this circumstance as there is no enclosed mass).

Knowing just these two undisputed facts, we could, for instance, calculate the precise field at the bottom of a mine shaft -- just calculate the field due to the mass beneath our feet whilst ignoring all of the mass above our heads, and neglecting the effect of the relatively slow rotation of the earth. This much is standard stuff and fully confirmed by experiments, here on earth. 

A thought experiment

Now, keeping these same two undisputed facts in mind, consider a large ball of matter, collapsing due to the force of gravity, where the forces involved have already exceeded those needed to halt the collapse at the size of a neutron star. (Such as during the final stage of collapse after a sufficiently large star goes supernova at the end of it's active life.) For simplicity, let the ball be spherically symmetric and nonrotating. The collapsing ball of matter, if of sufficient mass, will eventually form a black hole with an event horizon having a reduced radius, \(r_{e}\), given by this simple equation

\[r_{e}=\frac{2Gm}{c^2}\]

where the \(r_e\) is the reduced radius of the event horizon, \(G\) is the gravitational constant, the same constant used in the gravity equation of Newton, \(m\) is the total mass enclosed by the event horizon, and \(c\) is the speed of light. In the following argument, all radii will be reduced radii.

Inside this event horizon the ball of particles will continue to collapse, heading relentlessly towards the origin. So far, we have not deviated in any way from established theories. 

The new stuff: here it gets interesting->

 

Comments   

0 #10 Lindsaygex 2019-08-15 13:20
Useful information, I will follow the topic
Quote
0 #9 dental 2019-08-14 12:19
Undeniably believe that which you stated. Your favourite reason appeared to be
on the net the simplest thing to understand of.
I say to you, I certainly get irked whilst other folks consider worries that they just do not understand about.

You controlled to hit the nail upon the highest as smartly
as defined out the whole thing with no need side effect , folks
can take a signal. Will probably be back to get more. Thank you
Quote
0 #8 piperin forte dm 2019-08-13 20:33
You are a very bright individual!
Quote
0 #7 dentist 2019-08-09 03:48
Because the admin of this site is working, no doubt very rapidly it will
be well-known, due to its quality contents.
Quote
0 #6 Dave 2019-08-02 09:16
Not sure of your meaning. I only speak English so can only understand English comments. I have to delete the rest, or I could find my site promoting the sale of goods. Dave
Quote
0 #5 slovaapone 2019-08-02 00:49
It is english language possible to write? Sorry for my proor eng
Quote
0 #4 health medical news 2019-07-29 00:46
I am really thankful to the holder of this site who has shared this impressive post at this time.
Quote
0 #3 Dave 2019-07-23 17:10
I do not have an answer to this. My ideas often precede writing them down by a long long time. Any maths comes even harder. If I feel sure enough of my ideas, I just keep thinking and working on them. I wish you well.
Quote
0 #2 מסת שריר 2019-07-22 22:02
First of all I want to say awesome blog!
I had a quick question in which I'd like to ask if you don't
mind. I was curious to know how you center yourself and
clear your thoughts prior to writing. I've had difficulty clearing my
thoughts in getting my ideas out. I do take
pleasure in writing however it just seems like the first 10 to
15 minutes are generally lost just trying to figure out how to begin. Any suggestions or tips?
Cheers!
Quote
0 #1 העלאת מסת שריר 2019-07-21 06:30
When some one searches for his necessary thing,
so he/she wishes to be available that in detail, so that thing
is maintained over here.
Quote

Add comment


Security code
Refresh