Overview of General Relativity and Space-Time

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A01=Nicola Vittorio
advanced space-time geometry applications
Author_Nicola Vittorio
Category=PGK
Category=PHR
Christoffel Symbols
Contravariant Components
Cosmological Constant
cosmological models
Covariant Components
Covariant Derivatives
curvature tensor analysis
Displacement Vector
Einstein Tensor
Energy Density
Energy Momentum Tensor
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eq_isMigrated=1
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equivalence principle physics
Euler Lagrangian Equations
Field Equations
gravitational wave detection
Inertial Frame
Inertial Reference Frame
inertial reference frames
Minkowski Space Time
Non-inertial Reference Frames
Parallel Transport
Polar Basis Vectors
relativistic hydrodynamics
Rest Energy
Ricci Tensor
Schwarzschild Geometry
Schwarzschild Metric
Schwarzschild Solution
Schwarzschild Space Time
Vice Versa
Weak Field Limit

Product details

  • ISBN 9780367692889
  • Weight: 453g
  • Dimensions: 156 x 234mm
  • Publication Date: 29 Dec 2022
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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This textbook equips Masters’ students studying Physics and Astronomy with the necessary mathematical tools to understand the basics of General Relativity and its applications. It begins by reviewing classical mechanics with a more geometrically oriented language, continues with Special Relativity and, then onto a discussion on the pseudo-Riemannian space-times. Applications span from the inner and outer Schwarzschild solutions to gravitational wave, black holes, spherical relativistic hydrodynamics, and Cosmology. The goal is to limit the abstract formalization of the problems, to favor a hands-on approach with a number of exercises, without renouncing to a pedagogical derivation of the main mathematical tools and findings.

Features

• Provides a self-contained introduction to General Relativity and to its standar applications.

• Presents readers with all the tools necessary for further learning and research in the field.

• Accessible to readers with just foundational knowledge of linear algebra and Lagrangian mechanics.

Nicola Vittorio is full professor of Astronomy and Astrophysics at the Physics Department of the University of Rome ``Tor Vergata’’. He carried out theoretical studies in cosmology and in the formation and evolution of the large-scale structure of the universe. He published 250 articles on refereed journals, and also was the organizer and the editor of several conferences and conference proceedings. Nicola Vittorio is the Scientific Coordinator of the national ASI/LiteBIRD Project, financed by the Italian Space Agency-ASI to support the participation of the Italian community to the Phase A activities of the JAXA-led LiteBIRD satellite. He is the President of the Board that coordinates the PhD activities of ``Tor Vergata’’ University, the coordinator of the PhD program in Astronomy, Astrophysics and Space Science (run jointly by the Universities of Rome ``Tor Vergata’’ and Sapienza with the National Institute of Astrophysics-INAF) and the Coordinator of the Erasmus Mundus Joint Master program in Astrophysics and Space Science-MASS (run jointly by the universities of Rome "Tor Vergata", Belgrade, Bremen, and Côte d’Azur). Nicola Vittorio is National Fellow of the Academy of Sciences of Turin, Distinguished Member of the Italian Physical Society, Member of the European Academy of Sciences and Arts, of the European Physical Society, of the International Astronomical Union, of the Italian Astronomical Society, and of the Italian Society for the Advancement of Science.

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