What are the Properties of 4D and 5D Black Holes?

[Redsummers]

I have a question concerning upper dimensional black holes.

Basically my question would be: what are 4d and 5d black holes? But being more precise about my question, I would like to ask about their properties. I guess there is an analogy between 3d black holes and the other ones, so is then the black hole entropy for a 4d-BH proportional to its volume? What would be the remarkable characteristics of the mass-energy and information carried by the Hawking radiation? Does it still makes sense to apply such properties like radiation in upper dimensional black holes?

 

[AndyW]

Thank you for your question regarding upper dimensional black holes. I am happy to provide some information and insights on this topic.

Firstly, it is important to understand that a 4-dimensional (4D) black hole is not a black hole in the traditional sense, but rather a theoretical construct used in certain mathematical models. In this context, the term "4D black hole" refers to a black hole that exists in a four-dimensional space-time, which includes the three dimensions of space and one dimension of time. Similarly, a 5-dimensional (5D) black hole would exist in a five-dimensional space-time.

The properties of 4D and 5D black holes are not well understood, as they are still a subject of ongoing research. However, some theories suggest that these higher dimensional black holes may have different properties and behaviors compared to their 3D counterparts. For example, the event horizon (the point of no return for matter and light) of a 4D or 5D black hole may not be a spherical shape, but rather a more complex shape due to the additional dimensions.

Regarding your question about black hole entropy, it is still a topic of debate among scientists whether the entropy of a 4D or 5D black hole is proportional to its volume. Some theories suggest that the entropy may be related to the surface area of the event horizon, rather than its volume, which would be different from the traditional 3D black hole entropy formula.

In terms of the mass-energy and information carried by Hawking radiation, it is also not fully understood how these properties would behave in a higher dimensional black hole. Some theories suggest that the radiation may still exist, but its characteristics may be different compared to a 3D black hole. Further research and experimentation are needed to fully understand the behavior of Hawking radiation in higher dimensional black holes.

In conclusion, while there are theories and models that suggest the existence of 4D and 5D black holes, their properties and behaviors are still not fully understood. They may have different characteristics compared to 3D black holes, and further research and experimentation are needed to gain a better understanding of these enigmatic objects. I hope this helps to answer your question. Thank you for your interest in this fascinating topic.