229 research outputs found
Quasi-normal modes of near-extremal black holes in dRGT massive gravity using Physics-Informed Neural Networks (PINNs)
In this study, we demonstrate the use of physics-informed neural networks
(PINNs) for computing the quasinormal modes (QNMs) of black holes in de
Rham-Gabadadze-Tolley (dRGT) massive gravity. These modes describe the
oscillation frequencies of perturbed black holes and are important in
understanding the behavior of these objects. We show that by carefully
selecting the hyperparameters of the PINN, including the network architecture
and the training data, it is possible to achieve good agreement between the
computed QNMs and the approximate analytical formula in the near-extremal limit
for the smallest mode number. Our results demonstrate the effectiveness of
PINNs for solving inverse problems in the context of QNMs and highlight the
potential of these algorithms for providing valuable insights into the behavior
of black holes
Approximation by Müntz spaces on positive intervals
International audienceThe so-called Bernstein operators were introduced by S.N. Bernstein in 1912 to give a constructive proof of Weierstrass' theorem. We show how to extend his result to Müntz spaces on positive intervals
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