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Pedro Aniceto & Rocha, J. V. (2019). Self-similar solutions and critical behavior in Einstein-Maxwell-dilaton theory sourced by charged null fluids. Journal of High Energy Physics.

P. Aniceto and J. M. Rocha,  "Self-similar solutions and critical behavior in Einstein-Maxwell-dilaton theory sourced by charged null fluids", in Journal of High Energy Physics, 2019

@article{aniceto2019_1714721044885,
	author = "Pedro Aniceto and Rocha, J. V.",
	title = "Self-similar solutions and critical behavior in Einstein-Maxwell-dilaton theory sourced by charged null fluids",
	journal = "Journal of High Energy Physics",
	year = "2019",
	volume = "",
	number = "",
	doi = "10.1007/JHEP10(2019)151"
}

TY  - JOUR
TI  - Self-similar solutions and critical behavior in Einstein-Maxwell-dilaton theory sourced by charged null fluids
T2  - Journal of High Energy Physics
AU  - Pedro Aniceto
AU  - Rocha, J. V.
PY  - 2019
SN  - 1126-6708
DO  - 10.1007/JHEP10(2019)151
AB  - We investigate continuously self-similar solutions of four-dimensional Einstein-Maxwell-dilaton theory supported by charged null fluids. We work under the assumption of spherical symmetry and the dilaton coupling parameter a is allowed to be arbitrary. First, it is proved that the only such vacuum solutions with a time-independent asymptotic value of the dilaton necessarily have vanishing electric field, and thus reduce to Roberts’ solution of the Einstein-dilaton system. Allowing for additional sources, we then obtain Vaidya-like families of self-similar solutions supported by charged null fluids. By continuously matching these solutions to flat spacetime along a null hypersurface one can study gravitational collapse analytically. Capitalizing on this idea, we compute the critical exponent defining the power-law behavior of the mass contained within the apparent horizon near the threshold of black hole formation. For the heterotic dilaton coupling $a=1$ the critical exponent takes the value 1/2 typically observed in similar analytic studies, but more generally it is given by $\gamma = a^2(1+a^2)^{−1}$. The analysis is complemented by an assessment of the classical energy conditions. Finally, and on a different note, we report on a novel dyonic black hole spacetime, which is a time-dependent vacuum solution of this theory. In this case, the presence of constant electric and magnetic charges naturally breaks self-similarity.
ER  -