This book offers an updated comprehensive review of the rapidly expanding field of GRMHD simulations. In Part I, it reviews the basic equations for GRMHD simulations and for numerical relativity. Part II describes public codes for GRMHD simulations. Part III is devoted to accretion processes onto compact objects in the non-self-gravitating fluid approximation. Part IV reviews the state of the art of GRMHD simulations with self-gravitating fluids. This book represents both a valuable book for graduate students and important reference resource for researchers in the field.

Autorentext

Cosimo Bambi is currently Xie Xide Junior Chair Professor at the Department of Physics at Fudan University. He received the Laurea degree from Florence University in 2003 and the PhD degree from Ferrara University in 2007. He worked as a postdoctoral research scholar at Wayne State University, IPMU/The University of Tokyo, and LMU Munich. He joined Fudan University at the end of 2012 under the 1000 Young Talents Program. His research interests include black holes, X-ray astronomy, computational astrophysics, and tests of General Relativity. He has published several books with Springer, either as author and editor. Yosuke Mizuno is currently T.D. Lee Fellow at the Tsung-Dao Lee Institute at Shanghai Jiao Tong University and Associate Professor at the School of Physics and Astronomy at Shanghai Jiao Tong University. He received the PhD Degree from Kyoto University in 2004 and worked as a postdoctoral scholar at Kyoto University, NASA Marshall Space Flight Center, the University of Nevada Las Vegas, the University of Alabama in Huntsville, Taiwan Tsing-Hua University, and Goethe University Frankfurt. His research interests cover theoretical astrophysics, plasma astrophysics, computational astrophysics, and theories of gravity. Swarnim Shashank is currently a super-postdoc at the Department of Physics at Fudan University. He received the Integrated Master Degree from the University of Mumbai, Center for Excellence in Basic Sciences in 2019 and the PhD Degree from Fudan University in 2023. He works on theoretical and computational astrophysics. Feng Yuan is currently Professor at the Department of Physics at Fudan University and Director of the Center for Astronomy and Astrophysics at Fudan University. He received the PhD Degree from the University of Science and Technology of China in 1997 and worked as a postdoctoral researcher at Nanjing University, Max-Planck Institute of Radio Astronomy, Harvard-Smithsonian Center for Astrophysics, and Purdue University. He joined the Shanghai Astronomical Observatory, Chinese Academy of Sciences as Professor in 2005, where he served as Deputy Director from 2018 to 2022. His research interests include black hole accretion, active galactic nuclei, galaxy formation and evolution, and computational astrophysics.