Black holes in theories with extra dimensions, exhibiting modified shadows and gravitational effects.Brane world black holes are hypothetical black holes that exist in theories with extra spatial dimensions. In these models, our universe is a three-dimensional 'brane' embedded in a higher-dimensional space, and gravity can leak into the extra dimensions. This leakage modifies the gravitational field around a black hole, leading to observable differences from the standard general relativity predictions, such as altered shadow shapes and sizes, and changes in gravitational wave signals.
The concept emerged in the late 1990s with the development of brane world models by Randall and Sundrum, and others, who proposed that extra dimensions could be large or warped. The specific study of black holes in these frameworks followed shortly after.
In brane world scenarios, the standard Schwarzschild or Kerr solutions are replaced by more complex metrics that depend on the brane tension and the bulk geometry. The black hole's event horizon and photon sphere are deformed, which changes the apparent shadow seen by an observer. Additionally, gravitational waves emitted by such black holes would carry a 'signature' of the extra dimensions, potentially detectable as modifications in the waveform's phase and amplitude.
These models are used in theoretical research to test the existence of extra dimensions through astrophysical observations, such as the Event Horizon Telescope's imaging of black hole shadows and gravitational wave detectors like LIGO and LISA.
In some brane world models, black holes could evaporate faster than in standard physics, potentially producing detectable gamma-ray bursts.
| d | variable | Dimension of hyperbolic space — dimension |
| n | variable | Number of group generators — number of generators |



