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Spacetime and Geometry

Author: Sean M. Carroll
language: en
Publisher: Cambridge University Press
Release Date: 2019-08-08
Spacetime and Geometry is an introductory textbook on general relativity, specifically aimed at students. Using a lucid style, Carroll first covers the foundations of the theory and mathematical formalism, providing an approachable introduction to what can often be an intimidating subject. Three major applications of general relativity are then discussed: black holes, perturbation theory and gravitational waves, and cosmology. Students will learn the origin of how spacetime curves (the Einstein equation) and how matter moves through it (the geodesic equation). They will learn what black holes really are, how gravitational waves are generated and detected, and the modern view of the expansion of the universe. A brief introduction to quantum field theory in curved spacetime is also included. A student familiar with this book will be ready to tackle research-level problems in gravitational physics.
The Big Picture

‘Fascinating’ – Brian Cox, Mail on Sunday Books of the Year Where are we? Who are we? Do our beliefs, hopes and dreams hold any significance out there in the void? Can human purpose and meaning ever fit into a scientific worldview? Award-winning author Sean Carroll brings his extraordinary intellect to bear on the realms of knowledge, the laws of nature and the most profound questions about life, death and our place in it all. From Darwin and Einstein to the origins of life, consciousness and the universe itself, Carroll combines cosmos-sprawling science and profound thought in a quest to explain our world. Destined to sit alongside the works of our greatest thinkers, The Big Picture demonstrates that while our lives may be forever dwarfed by the immensity of the universe, they can be redeemed by our capacity to comprehend it and give it meaning.
Problem Book in Relativity and Gravitation

Author: Alan P Lightman
language: en
Publisher: Princeton University Press
Release Date: 2017-09-01
An essential resource for learning about general relativity and much more, from four leading experts Important and useful to every student of relativity, this book is a unique collection of some 475 problems--with solutions--in the fields of special and general relativity, gravitation, relativistic astrophysics, and cosmology. The problems are expressed in broad physical terms to enhance their pertinence to readers with diverse backgrounds. In their solutions, the authors have attempted to convey a mode of approach to these kinds of problems, revealing procedures that can reduce the labor of calculations while avoiding the pitfall of too much or too powerful formalism. Although well suited for individual use, the volume may also be used with one of the modem textbooks in general relativity.