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Spinning Black Holes in Modified Gravity via Spectral Methods
Kelvin Ka-Ho Lam1, Adrian Ka-Wai Chung1,2, Nicolás Yunes1
1University of Illinois Urbana-Champaign, Illinois Center for Advanced Studies of the Universe and Department of Physics, Urbana, Illinois 61801, USA.
Physical Review Letters
|January 30, 2026
Summary
Researchers developed a spectral method to accurately represent rapidly rotating black holes in theories beyond Einstein
Area of Science:
- Theoretical physics
- Black hole physics
- Gravitational theories
Background:
- Testing Einstein's theory of general relativity relies on understanding black hole spacetimes.
- Exploring deviations from general relativity requires accurate models of rapidly rotating black holes.
Purpose of the Study:
- To develop an efficient spectral method for analytical, closed-form representation of black hole spacetimes.
- To apply this method to effective-field-theory extensions of general relativity.
Main Methods:
- Developed an efficient spectral method.
- Represented black hole spacetimes analytically and in closed-form.
- Achieved high accuracy for a large class of theories.
Main Results:
- Constructed the first closed-form, analytic representations of spinning black holes.
- Included scalar-Gauss-Bonnet, dynamical Chern-Simons, and axidilaton gravity theories.
- Achieved accuracy better than 10^{-8} for dimensionless spins below 0.99.
Conclusions:
- The spectral method provides accurate analytical representations of black hole spacetimes.
- This work enables precise tests of general relativity and its extensions.
- Opens new avenues for studying black hole physics beyond Einstein's theory.
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