EAN: 9783031429477

SPRINGERBRIEFS IN PHYSICS THE GEROCH-HELD-PEN...

This book offers a primer on the fundamentals and applications of the Geroch-Held-Penrose (GHP)
calculus  a powerful formalism designed for spacetimes that occur frequently in the teaching of
General Relativity. Specifically  the book shows in detail the power of the calculus when
dealing with spherically symmetric spacetimes. After introducing the basics  a new look at all
the classical spherically symmetric black hole solutions is given within the GHP formalism.
This is then employed to give new insights into the Tolman-Oppenheimer-Volkoff equations for
stellar structure  including a derivation of new exact anisotropic fluid solutions. Finally  a
re-writing of some essential features of black hole thermodynamics within the GHP formalism is
performed. The book is based on the authors' lecture notes  used in their undergraduate and
graduate lectures and while supervising their upper undergraduate and graduate students. To
fully benefit from this concise primer  readers only need an undergraduate background in
general relativity.

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