Regular black holes in quadratic gravity

By W. Berej, J. Matyjasek, D. Tryniecki, M. Woronowicz. 2006

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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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a22def4720f00f65847a683d82195575461a8963

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In Astronomy and Astrophysics

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In Nuclear and High Energy Physics

  1. Lavinia Heisenberg
  2. Diego Rubiera-García
  3. Jose Beltrán Jiménez
  4. G. Olmo
  5. Tomi Koivisto
  6. Salvatore Capozziello
  7. Valerio Faraoni
  8. Tiberiu Harko

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