This page has been robot translated, sorry for typos if any. Original content here.


THE SUN - THE BLACK HOLE OF KERA

Leave a comment

Introduction

For fifty years after the creation of the general theory of relativity, only Schwarzschild's solution describing a spherically symmetric black hole characterized by mass only was used in all calculations. The idea that sufficiently realistic models of black holes must have rotation is not new. Everyone understood that it was necessary to take into account the influence of rotation, but no one could correctly solve the rotation should depend on two parameters - the mass of the black hole (denoted by the letter M) of the Einstein equation. Strictly speaking, a complete solution of the gravitational field equations taking into account the angular momentum of the hole (denoted by a). In addition, this solution must be asymptotically flat, that is, far from the black hole, space-time should become flat. Although flat space never happens, but at a certain distance - up to the observed effect of a black hole, it can be assumed that it is flat. Like all assumptions in mathematical modeling, rejecting them leads to a revision of the entire model. Therefore, the assumption of an asymptotically flat space in mathematical models of black holes remains so far, so it does not have a significant effect on the structure of a black hole, but it proves to be unacceptable when considering a model of a space in which a black hole is an element of a more complex structure. The equations of the gravitational field turned out to be so complicated mathematically that no one could find a single exact solution for a long time that satisfied these simple requirements. Only in 1963, Roy P. Kerr, an Australian mathematician who then worked at the University of Texas (USA), found a complete solution of the gravitational field equations for a rotating black hole. For the first time almost fifty years after Einstein's fundamental work, astrophysicists finally obtained a mathematical description of the geometry of space-time surrounding a massive rotating object. By 1975, the uniqueness of the Kerr solution was proved. In exactly the same way as all possible solutions for black holes with only a mass (M) are equivalent to the Schwarzschild solution, and all possible solutions for black holes with mass and charge (M and Q) are equivalent to the Riesner-Nordström solution, all possible solutions with mass and the angular momentum (M and a) must be equivalent to the Kerr solution.

TABLE OF SOLUTION OF EQUATIONS FIELD DESCRIBING BLACK HOLES

SOLUTIONS OF EQUATIONS FIELD DESCRIBING BLACK HOLES

The sun has a mass of - M and momentum - and therefore in the future we will consider the structure of the Sun in the Kerr solution.

Authors: Gordeev SI, Voloshina VN 28-07-2003



It will not be superfluous for your friends to know this information, share their article with them!

Expand / Collapse Expand / Collapse box with comments

Comments

Commenting on, remember that the content and tone of your message can hurt the feelings of real people, show respect and tolerance to your interlocutors even if you do not share their opinion, your behavior in the conditions of freedom of expression and anonymity provided by the Internet, changes not only virtual, but also the real world. All comments are hidden from the index, spam is controlled.
Now everyone can publish articles
Try it first!
To write an article
Liked? Subscribe to RSS news,
to be the first to receive information
about all important events of the country and the world.
You can also support shram.kiev.ua, click: