The Potential of Fields in Einstein's Theory of Gravitation

This book presents a detailed study of the Lanczos potential in general relativity by using tetrad formalisms. It demonstrates that these formalisms offer some simplifications over the tensorial methods, and investigates a general approach to finding the

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The Potential of Fields in Einstein’s Theory of Gravitation

The Potential of Fields in Einstein’s Theory of Gravitation

Zafar Ahsan

The Potential of Fields in Einstein’s Theory of Gravitation

123

Zafar Ahsan Department of Mathematics Aligarh Muslim University Aligarh, Uttar Pradesh, India

ISBN 978-981-13-8975-7 ISBN 978-981-13-8976-4 https://doi.org/10.1007/978-981-13-8976-4

(eBook)

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Preface

The theory of relativity has developed in two phases—special theory of relativity and general theory of relativity. Special theory of relativity adapted the concept of inertial frame to the basic law of constancy of the velocity of light dispensing with the concept of absolute space and time of Galilean–Newtonian mechanics, while the general theory of relativity came into existence as an extension of the special theory of relativity. With the tools of Riemannian geometry, Einstein was able to formulate a theory that predicts the behaviour of objects in the presence of gravitational, electromagnetic and other forces. Through his general theory of relativity, Einstein redefined gravity. From the classical point of view, gravity is the attractive force between massive objects in three-dimensional space. In general relativity, gravity manifests as a curvature of four-dimensional spacetime. Conversely, curved space and time generates effects that are equivalent to gravitational effects. J. A. Wheelar has described the results as ‘matter tells spacetime how to bend and spacetime returns the complement by telling matter how to move’. On other hand, cosmology is the science of the univers