Black Holes: Rotating vs Non-Rotating

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Discussion Overview

The discussion revolves around the characteristics of rotating (Kerr) and non-rotating (Schwarzschild) black holes, focusing on the factors that determine a black hole's rotation and the implications of angular momentum as described by the No Hair theorem.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions what determines whether a black hole will rotate or not, and seeks to understand the implications of zero angular momentum.
  • Another participant states that a Kerr black hole forms from a star or system of stars with nonzero angular momentum.
  • It is noted that in the limit of zero angular momentum, the Kerr solution becomes the Schwarzschild solution, indicating that a non-rotating Kerr black hole is equivalent to a Schwarzschild black hole.
  • A participant asserts that real black holes effectively always rotate, suggesting that the likelihood of a black hole having zero angular momentum is extremely low.
  • It is mentioned that while non-rotating black holes are simpler and lack features like the ergosphere or jets, they serve as useful theoretical constructs.
  • Another participant explains that angular momentum is conserved, implying that if the progenitor star had angular momentum, the resulting black hole will also rotate.

Areas of Agreement / Disagreement

Participants express differing views on the prevalence of non-rotating black holes, with some suggesting they are theoretical constructs while others emphasize the rarity of such black holes in reality. The discussion remains unresolved regarding the implications of angular momentum and the conditions under which a black hole might not rotate.

Contextual Notes

Participants highlight the complexity of rotating black holes compared to non-rotating ones, but do not resolve the assumptions about the conditions necessary for a black hole to have zero angular momentum.

Souhardya Nandi
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I am reading about Kerr black holes and non rotating black holes. But I am unable to understand what decides whether the black hole will not rotate or rotate. And if No Hair theorem suggests, we can know about a black hole through its angular momentum, what implications does zero angular momentum have for a black hole ?
 
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A Kerr black hole forms from a star with nonzero angular momentum, or from a system of stars with nonzero angular momentum.
 
In the limit of zero angular momentum, the Kerr black hole solution becomes the Schwarzschild black hole solution. In other words a non-rotating Kerr black hole is identical to a Schwarzschild black hole.
 
Souhardya Nandi said:
I am reading about Kerr black holes and non rotating black holes. But I am unable to understand what decides whether the black hole will not rotate or rotate. And if No Hair theorem suggests, we can know about a black hole through its angular momentum, what implications does zero angular momentum have for a black hole ?
Real black holes effectively always rotate. The chance of a black hole not having any angular momentum is pretty much nil.

That said, as a theoretical construct it's easy to consider a black hole that has no angular momentum. Such black holes are much simpler than spinning black holes, lacking features such as the ergosphere or jets. As phyzguy mentions, these are just Schwarzschild black holes which are defined by a single parameter (their mass parameter).
 
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Angular momentum is conserved, so if the star or matter had some angular momentum before collapsing into a black hole, it will become a rotating black hole.
 

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