TY - JOUR
T1 - Charged slowly rotating toroidal black holes in the (1 + 3)-dimensional Einstein-power-Maxwell theory
AU - Panotopoulos, Grigoris
AU - Rincón, Ángel
N1 - Funding Information:
The authors wish to thank Jo?e P. S. Lemos for discussions as well as the anonymous reviewer for suggestions to improve the presentation of the paper. G. P. thanks the Funda c ao para a C?encia e Tecnologia (FCT), Portugal, for the financial support to the Center for Astrophysics and Gravitation-CENTRA, Instituto Superior Tecnico, Universidade de Lisboa, through the Grant No. UID/FIS/00099/2013. The author A. R. was supported by the CONICYT-PCHA/Doctorado Nacional/2015-21151658.
Funding Information:
The authors wish to thank José P. S. Lemos for discussions as well as the anonymous reviewer for suggestions to improve the presentation of the paper. G. P. thanks the Funda¸cão para a Ciência e Tecnologia (FCT), Portugal, for the financial support to the Center for Astrophysics and Gravitation-CENTRA, Instituto Superior Técnico, Universidade de Lisboa, through the Grant No. UID/FIS/00099/2013. The author A. R. was supported by the CONICYT-PCHA/ Doctorado Nacional/2015-21151658.
Publisher Copyright:
© 2019 World Scientific Publishing Company.
PY - 2019/1/1
Y1 - 2019/1/1
N2 - In this work, we find charged slowly rotating solutions in the four-dimensional Einstein-power-Maxwell nonlinear electrodynamics assuming a negative cosmological constant. By solving the system of coupled field equations explicitly, we obtain an approximate analytical solution in the small rotation limit. The solution obtained is characterized by a flat horizon structure, and it corresponds to a toroidal black hole. The Smarr's formula, the thermodynamics and the invariants Ricci scalar and Kretschmann scalar are briefly discussed.
AB - In this work, we find charged slowly rotating solutions in the four-dimensional Einstein-power-Maxwell nonlinear electrodynamics assuming a negative cosmological constant. By solving the system of coupled field equations explicitly, we obtain an approximate analytical solution in the small rotation limit. The solution obtained is characterized by a flat horizon structure, and it corresponds to a toroidal black hole. The Smarr's formula, the thermodynamics and the invariants Ricci scalar and Kretschmann scalar are briefly discussed.
KW - Classical general relativity
KW - analytical solutions
KW - nonlinear electrodynamics
UR - http://www.scopus.com/inward/record.url?scp=85053105492&partnerID=8YFLogxK
U2 - 10.1142/S0218271819500160
DO - 10.1142/S0218271819500160
M3 - Article
AN - SCOPUS:85053105492
VL - 28
JO - International Journal of Modern Physics D
JF - International Journal of Modern Physics D
SN - 0218-2718
IS - 1
ER -