Do Black Holes Have Dimension?

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SUMMARY

Black holes possess dimensional characteristics, with a Schwarzschild black hole being zero-dimensional (a point) and a Kerr black hole being one-dimensional (a circle). The Myers-Perry metric describes five-dimensional black hole spacetimes, indicating that black holes can exist in multiple dimensions. Their size is defined by mass and radius, with larger masses correlating to larger radii. Despite the complexities introduced by gravitational effects and space curvature, black holes have a measurable size, contrary to the notion of them being infinite points.

PREREQUISITES
  • Understanding of Schwarzschild and Kerr black holes
  • Familiarity with the Myers-Perry metric
  • Knowledge of Einstein's field equations
  • Basic concepts of event horizons and gravitational effects
NEXT STEPS
  • Research the implications of the Myers-Perry metric on black hole dimensionality
  • Study the effects of gravitational lensing near black holes
  • Explore the relationship between mass and radius in black hole physics
  • Investigate the nature of event horizons and their impact on perceived size
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Astronomers, physicists, and students of theoretical physics interested in the dimensional properties and characteristics of black holes.

mprm86
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Do black holes actually have dimension (I mean size)?
Thanks.
 
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a schwarzschild BH is Zero-dimensional, a point. A Kerr BH one-dimensional, a circle.
there's a solution of Einstein Equations called Myers-Perry metric that describes 5-dimensional Black Hole spacetimes. In this case I'm not sure of the dimensionality of the BH (somebody can explain?)
 


Yes, black holes do have dimension or size. They are typically described by their mass, which is the amount of matter they contain, and their radius, which is the distance from the center of the black hole to its event horizon (the point of no return). The size of a black hole is directly related to its mass, with larger masses resulting in larger radii. However, the concept of size in relation to black holes can be tricky because as objects get closer to the event horizon, they appear to shrink due to the intense gravitational pull. This can make it difficult to determine the actual physical size of a black hole. Additionally, the extreme curvature of space around a black hole makes it challenging to measure its dimensions accurately. Nevertheless, black holes do have a definite size and are not just infinite points in space.
 

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