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• W3094249774 abstract "Abstract Gravitational critical collapse in the Einstein-axion-dilaton system is known to lead to continuous self-similar solutions characterized by the Choptuik critical exponent $$gamma $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>γ</mml:mi> </mml:math> . We complete the existing literature on the subject by computing the linear perturbation equations in the case where the axion-dilaton system assumes a parabolic form. Next, we solve the perturbation equations in a newly discovered self-similar solution in the hyperbolic case, which allows us to extract the Choptuik exponent. Our main result is that this exponent depends not only on the dimensions of spacetime but also the particular ansatz and the critical solutions that one started with." @default.
• W3094249774 created "2020-10-29" @default.
• W3094249774 creator A5032641280 @default.
• W3094249774 creator A5052798037 @default.
• W3094249774 date "2021-01-01" @default.
• W3094249774 modified "2023-10-11" @default.
• W3094249774 title "On perturbation theory and critical exponents for self-similar systems" @default.
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• W3094249774 doi "https://doi.org/10.1140/epjc/s10052-020-08788-w" @default.
• W3094249774 hasPublicationYear "2021" @default.
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