Mathematical Theory of Black Holes in Higher Dimensions

Petya Nedkova is an associate professor at Sofia University, Bulgaria. In 2012 she obtained her PhD in mathematical physics from Sofia University and worked as a postdoctoral researcher at Oldenburg University, Germany, funded by a DAAD research grant. In 2013 she became an assistant professor at Sofia University and was promoted to an associate professor after defending her habilitation. From 2013 to 2020 she worked partially as a guest researcher at Oldenburg University. In higher dimensional gravity she contributed to constructing exact black hole solutions and studying their thermodynamics. Her research interests range from mathematical physics to relativistic astrophysics, including topics on gravitational lensing, black hole imaging, accretion disks and exotic compact objects.Stoytcho Yazadjiev is a professor in theoretical and mathematical physics at Sofia University, Bulgaria, where he obtained his PhD in 2000. He has specialized at Göttingen University, Germany, and Tübingen University, Germany, as a Humboldt fellow. His research interests are focused on theoretical, mathematical and computational physics and especially on general relativity and modified theories of gravity. Within the framework of higher dimensional gravity, his contributions range from construction of exact solutions to black hole uniqueness theorems.

• Introduction.- Static vacuum black hole solutions.- Stationary vacuum black hole solutions.- Solution generation methods I.- Solution generation methods II.- Classification and uniqueness of black hole solutions in vacuum.- Einstein Maxwell Black Hole Solutions.- Classification and uniqueness of Einstein Maxwell black holes.

“The Mathematical Theory of Black Holes in Higher Dimensions is an interesting, insightful and intellectually challenging tome … . Black holes in higher dimensions are seldom referenced in many courses (both beginner and advanced) in the study of Einstein gravity. This book fills in this gap in readers' education by gently leading them through each of the topics one by one. … Interesting references are scattering throughout the text … which invites the reader to read beyond … .” (physicsbookreviewer.blogspot.com, January 29, 2025)