An Introduction to Tensor Calculus

An Introduction to Tensor Calculus
  • Author : Derek F. Lawden
  • Publisher : Courier Corporation
  • Release : 07 March 2012
GET THIS BOOKAn Introduction to Tensor Calculus

This elementary introduction pays special attention to aspects of tensor calculus and relativity that students tend to find most difficult. Its use of relatively unsophisticated mathematics in the early chapters allows readers to develop their confidence within the framework of Cartesian coordinates before undertaking the theory of tensors in curved spaces and its application to general relativity theory. Topics include the special principle of relativity and Lorentz transformations; orthogonal transformations and Cartesian tensors; special relativity mechanics and electrodynamics; general tensor

Tensors, Relativity, and Cosmology

Tensors, Relativity, and Cosmology
  • Author : Mirjana Dalarsson,Nils Dalarsson
  • Publisher : Academic Press
  • Release : 08 July 2015
GET THIS BOOKTensors, Relativity, and Cosmology

Tensors, Relativity, and Cosmology, Second Edition, combines relativity, astrophysics, and cosmology in a single volume, providing a simplified introduction to each subject that is followed by detailed mathematical derivations. The book includes a section on general relativity that gives the case for a curved space-time, presents the mathematical background (tensor calculus, Riemannian geometry), discusses the Einstein equation and its solutions (including black holes and Penrose processes), and considers the energy-momentum tensor for various solutions. In addition, a section on relativistic

Tensors, Relativity, and Cosmology

Tensors, Relativity, and Cosmology
  • Author : Mirjana Dalarsson,Nils Dalarsson
  • Publisher : Gulf Professional Publishing
  • Release : 04 April 2005
GET THIS BOOKTensors, Relativity, and Cosmology

This book combines relativity, astrophysics, and cosmology in a single volume, providing an introduction to each subject that enables students to understand more detailed treatises as well as the current literature. The section on general relativity gives the case for a curved space-time, presents the mathematical background (tensor calculus, Riemannian geometry), discusses the Einstein equation and its solutions (including black holes, Penrose processes, and similar topics), and considers the energy-momentum tensor for various solutions. The next section on relativistic astrophysics

Relativity, Gravitation and Cosmology

Relativity, Gravitation and Cosmology
  • Author : Ta-Pei Cheng
  • Publisher : Oxford University Press
  • Release : 01 January 2010
GET THIS BOOKRelativity, Gravitation and Cosmology

This book provides an introduction to Einstein's general theory of relativity. A "physics-first" approach is adopted so that interesting applications come before the more difficult task of solving the Einstein equation. The book includes extensive coverage of cosmology, and is designed to allow readers to study the subject alone.

An Introduction to General Relativity and Cosmology

An Introduction to General Relativity and Cosmology
  • Author : Jerzy Plebanski,Andrzej Krasinski
  • Publisher : Cambridge University Press
  • Release : 14 August 2006
GET THIS BOOKAn Introduction to General Relativity and Cosmology

General relativity is a cornerstone of modern physics, and is of major importance in its applications to cosmology. Plebanski and Krasinski are experts in the field and in this book they provide a thorough introduction to general relativity, guiding the reader through complete derivations of the most important results. Providing coverage from a unique viewpoint, geometrical, physical and astrophysical properties of inhomogeneous cosmological models are all systematically and clearly presented, allowing the reader to follow and verify all derivations. For

TENSORS

TENSORS
  • Author : AHSAN, ZAFAR
  • Publisher : PHI Learning Pvt. Ltd.
  • Release : 21 May 2015
GET THIS BOOKTENSORS

The principal aim of analysis of tensors is to investigate those relations which remain valid when we change from one coordinate system to another. This book on Tensors requires only a knowledge of elementary calculus, differential equations and classical mechanics as pre-requisites. It provides the readers with all the information about the tensors along with the derivation of all the tensorial relations/equations in a simple manner. The book also deals in detail with topics of importance to the study

Introduction To General Relativity And Cosmology

Introduction To General Relativity And Cosmology
  • Author : Christian G Boehmer
  • Publisher : World Scientific Publishing Company
  • Release : 06 October 2016
GET THIS BOOKIntroduction To General Relativity And Cosmology

Introduction to General Relativity and Cosmology gives undergraduate students an overview of the fundamental ideas behind the geometric theory of gravitation and spacetime. Through pointers on how to modify and generalise Einstein's theory to enhance understanding, it provides a link between standard textbook content and current research in the field.Chapters present complicated material practically and concisely, initially dealing with the mathematical foundations of the theory of relativity, in particular differential geometry. This is followed by a discussion of the

General Relativity

General Relativity
  • Author : Michael J W Hall
  • Publisher : Morgan & Claypool Publishers
  • Release : 23 March 2018
GET THIS BOOKGeneral Relativity

This book is based on a set of 18 class-tested lectures delivered to fourth-year physics undergraduates at Griffith University in Brisbane, and the book presents new discoveries by the Nobel-prize winning LIGO collaboration. The author begins with a review of special relativity and tensors and then develops the basic elements of general relativity (a beautiful theory that unifies special relativity and gravitation via geometry) with applications to the gravitational deflection of light, global positioning systems, black holes, gravitational waves, and cosmology.

General Relativity, Astrophysics, and Cosmology

General Relativity, Astrophysics, and Cosmology
  • Author : A.K. Raychaudhuri,S. Banerji,A. Banerjee
  • Publisher : Springer Science & Business Media
  • Release : 14 November 2003
GET THIS BOOKGeneral Relativity, Astrophysics, and Cosmology

For about half a century the general theory of relativity attracted little attention from physicists. However, the discovery of compact objects such as quasars and pulsars, as well as candidates for black holes on the one hand, and the microwave background radiation on the other hand completely changed the picture. In addition, developments in elementary particle physics, such as predictions of the behavior of matter at the ultrahigh energies that might have prevailed in the early stages of the big

Relativity, Gravitation and Cosmology

Relativity, Gravitation and Cosmology
  • Author : Robert J. Lambourne
  • Publisher : Cambridge University Press
  • Release : 01 June 2010
GET THIS BOOKRelativity, Gravitation and Cosmology

The textbook introduces students to basic geometric concepts, such as metrics, connections and curvature, before examining general relativity in more detail. It shows the observational evidence supporting the theory, and the description general relativity provides of black holes and cosmological spacetimes. --

Relativity

Relativity
  • Author : Wolfgang Rindler
  • Publisher : Oxford University Press on Demand
  • Release : 06 April 2006
GET THIS BOOKRelativity

This text brings the challenge and excitement of modern relativity and cosmology at rigorous mathematical level within reach of advanced undergraduates and beginning graduates.

Cosmology in Scalar-Tensor Gravity

Cosmology in Scalar-Tensor Gravity
  • Author : Valerio Faraoni
  • Publisher : Springer Science & Business Media
  • Release : 31 March 2004
GET THIS BOOKCosmology in Scalar-Tensor Gravity

Cosmology in Scalar-Tensor Gravity covers all aspects of cosmology in scalar-tensor theories of gravity. Considerable progress has been made in this exciting area of physics and this book is the first to provide a critical overview of the research. Among the topics treated are: -Scalar-tensor gravity and its limit to general relativity, -Effective energy-momentum tensors and conformal frames, -Gravitational waves in scalar-tensor cosmology, -Specific scalar-tensor theories, -Exact cosmological solutions and cosmological perturbations, -Scalar-tensor scenarios of the early universe and inflation,