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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.