caa a22 4500 467887799 CHVBK 20180406152739.0 cr unu---uuuuu 170328e20060501xx s 000 0 eng 10.1007/s10714-006-0270-9 doi (NATIONALLICENCE)springer-10.1007/s10714-006-0270-9 Regular black holes in quadratic gravity [Elektronische Daten] [Waldemar Berej, Jerzy Matyjasek, Dariusz Tryniecki, Mariusz Woronowicz] The first-order correction of the perturbative solution of the coupled equations of the quadratic gravity and nonlinear electrodynamics is constructed, with the zeroth-order solution coinciding with the ones given by Ayón-Beato and Garcí a and by Bronnikov. It is shown that a simple generalization of the Bronnikov's electromagnetic Lagrangian leads to the solution expressible in terms of the polylogarithm functions. The solution is parametrized by two integration constants and depends on two free parameters. By the boundary conditions the integration constants are related to the charge and total mass of the system as seen by a distant observer, whereas the free parameters are adjusted to make the resultant line element regular at the center. It is argued that various curvature invariants are also regular there that strongly suggests the regularity of the spacetime. Despite the complexity of the problem the obtained solution can be studied analytically. The location of the event horizon of the black hole, its asymptotics and temperature are calculated. Special emphasis is put on the extremal configuration. Springer Science and Business Media Inc., New York, 2006 Black holes nationallicence Regular solutions nationallicence Nonlinear electrodynamics nationallicence Berej Waldemar Institute of Physics, Maria Curie-Skł odowska University, pl. Marii Curie-Skł odowskiej 1, 20-031, Lublin, Poland aut Matyjasek Jerzy Institute of Physics, Maria Curie-Skł odowska University, pl. Marii Curie-Skł odowskiej 1, 20-031, Lublin, Poland aut Tryniecki Dariusz Institute of Theoretical Physics, Wrocław University, pl. M. Borna 9, 50-204, Wrocław, Poland aut Woronowicz Mariusz Institute of Theoretical Physics, Wrocław University, pl. M. Borna 9, 50-204, Wrocław, Poland aut General Relativity and Gravitation Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 38/5(2006-05-01), 885-906 0001-7701 38:5<885 2006 38 10714 https://doi.org/10.1007/s10714-006-0270-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-006-0270-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Berej Waldemar Institute of Physics, Maria Curie-Skł odowska University, pl. Marii Curie-Skł odowskiej 1, 20-031, Lublin, Poland aut NATIONALLICENCE 700 1- Matyjasek Jerzy Institute of Physics, Maria Curie-Skł odowska University, pl. Marii Curie-Skł odowskiej 1, 20-031, Lublin, Poland aut NATIONALLICENCE 700 1- Tryniecki Dariusz Institute of Theoretical Physics, Wrocław University, pl. M. Borna 9, 50-204, Wrocław, Poland aut NATIONALLICENCE 700 1- Woronowicz Mariusz Institute of Theoretical Physics, Wrocław University, pl. M. Borna 9, 50-204, Wrocław, Poland aut NATIONALLICENCE 773 0- General Relativity and Gravitation Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 38/5(2006-05-01), 885-906 0001-7701 38:5<885 2006 38 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer