國立虎尾科技大學 |

The geroch-held-penrose calculus = fundamentals and applications /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The geroch-held-penrose calculus/ by Pedro Bargueno, Ernesto Contreras ; with a foreword by Roger Penrose.
其他題名:	fundamentals and applications /
作者:	Bargueno, Pedro.
其他作者:	Penrose, Roger.
出版者:	Cham :Springer Nature Switzerland : : 2023.,
面頁冊數:	xvi, 70 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Foundations of Physics and Cosmology. -
電子資源:	https://doi.org/10.1007/978-3-031-42948-4
ISBN:	9783031429484

The geroch-held-penrose calculus = fundamentals and applications /
Bargueno, Pedro.

The geroch-held-penrose calculusfundamentals and applications /[electronic resource] :by Pedro Bargueno, Ernesto Contreras ; with a foreword by Roger Penrose. - Cham :Springer Nature Switzerland :2023. - xvi, 70 p. :ill., digital ;24 cm. - SpringerBriefs in physics,2191-5431. - SpringerBriefs in physics..

Part I. Fundamentals -- Chapter 1. Basics of General Relativity -- Chapter 2. The Newman-Penrose formalism -- Chapter 3. Tools for the GHP formalism -- Chapter 4. The GHP equations, Bianchi identities and commutator relations -- Chapter 5. The Penrose-Rindler equation -- Part II. Applications -- Chapter 6. Spherically symmetric electro-vacuum solutions: a GHP approach -- Chapter 7. Self-gravitating spheres and fluid distributions: a GHP approach -- Chapter 8. Black hole thermodynamics through the GHP calculus -- Part III. Conclusions -- Chapter 9. Conclusions and Outlook.

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.

ISBN: 9783031429484

Standard No.: 10.1007/978-3-031-42948-4doiSubjects--Topical Terms:

1392306
Foundations of Physics and Cosmology.

LC Class. No.: QC173.6 / .B37 2023

Dewey Class. No.: 530.11

The geroch-held-penrose calculus = fundamentals and applications /
LDR:02718nam a2200337 a 4500 001 1117126
003 DE-He213
005 20230926201024.0
006 m d
007 cr nn 008maaau
008 240124s2023 sz s 0 eng d
020 $a 9783031429484 $q (electronic bk.)
020 $a 9783031429477 $q (paper)
024 7 $a 10.1007/978-3-031-42948-4 $2 doi
035 $a 978-3-031-42948-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QC173.6 $b .B37 2023
072 7 $a PHR $2 bicssc
072 7 $a SCI061000 $2 bisacsh
072 7 $a PHR $2 thema
082 0 4 $a 530.11 $2 23
090 $a QC173.6 $b .B251 2023
100 1 $a Bargueno, Pedro. $3 1430745
245 1 4 $a The geroch-held-penrose calculus $h [electronic resource] : $b fundamentals and applications / $c by Pedro Bargueno, Ernesto Contreras ; with a foreword by Roger Penrose.
260 $a Cham : $c 2023. $b Springer Nature Switzerland : $b Imprint: Springer,
300 $a xvi, 70 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in physics, $x 2191-5431
505 0 $a Part I. Fundamentals -- Chapter 1. Basics of General Relativity -- Chapter 2. The Newman-Penrose formalism -- Chapter 3. Tools for the GHP formalism -- Chapter 4. The GHP equations, Bianchi identities and commutator relations -- Chapter 5. The Penrose-Rindler equation -- Part II. Applications -- Chapter 6. Spherically symmetric electro-vacuum solutions: a GHP approach -- Chapter 7. Self-gravitating spheres and fluid distributions: a GHP approach -- Chapter 8. Black hole thermodynamics through the GHP calculus -- Part III. Conclusions -- Chapter 9. Conclusions and Outlook.
520 $a 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.
650 2 4 $a Foundations of Physics and Cosmology. $3 1392306
650 2 4 $a Global Analysis and Analysis on Manifolds. $3 672519
650 2 4 $a Integral Transforms and Operational Calculus. $3 1366597
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 768900
650 1 4 $a General Relativity. $3 1388923
650 0 $a Mathematical physics. $3 527831
650 0 $a General relativity (Physics) $3 672665
700 1 $a Penrose, Roger. $3 527676
700 1 $a Contreras R., Ernesto. $3 1430746
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a SpringerBriefs in physics. $3 881747
856 4 0 $u https://doi.org/10.1007/978-3-031-42948-4
950 $a Physics and Astronomy (SpringerNature-11651)