Fundamental Principles Of General Relativity Theories: Local And Global Aspects Of Gravitation And Cosmology
by H. Treder /
2013 / English / PDF
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The present monograph is not a self-contained introductory text.
Instead it presupposes to a large extent that the reader is not
only thoroughly familiar with the special theory of relativity, but
that he or she has studied the standard aspects of the general
theory, as weIl. Starting from local and global formulations of the
principlcs of inertia and relativity, we discuss the microscopic
ancl telcscopic aspects of gravitation. Our central goal has been
to demonstrate that the foundations of gravitational theory laid by
Newton and Einstein imply questions on thc relation betwecn the
micro- and macrocosm. The discussions surrounding these physical
points can be rather weH understood without an elaborate
mathcmatical formalism. All the same, we have attempted to make the
main theme of our presentation accessible also to readers outside
the circle of pundits by including two appendixes of a largely
instructional nature. Appendix A gives a brief review of the basic
concepts of four-dimensional spaces, for the convenience of readers
who need 9 Preface such a recapitulation, while Appendix B deals
with the more exotic notions of tetrad theory, which admittedly
stands in wider need of elucidation. Both appendixes are meant in
any event to serve the useful purpose of establishing our notation
and collecting formulas for easy reference in the main body of the
book. The general reader may accordingly find it helpful first to
peruse one or both of the appendixes before turning to the
Introduction and Chapter 1. H. -j.
The present monograph is not a self-contained introductory text.
Instead it presupposes to a large extent that the reader is not
only thoroughly familiar with the special theory of relativity, but
that he or she has studied the standard aspects of the general
theory, as weIl. Starting from local and global formulations of the
principlcs of inertia and relativity, we discuss the microscopic
ancl telcscopic aspects of gravitation. Our central goal has been
to demonstrate that the foundations of gravitational theory laid by
Newton and Einstein imply questions on thc relation betwecn the
micro- and macrocosm. The discussions surrounding these physical
points can be rather weH understood without an elaborate
mathcmatical formalism. All the same, we have attempted to make the
main theme of our presentation accessible also to readers outside
the circle of pundits by including two appendixes of a largely
instructional nature. Appendix A gives a brief review of the basic
concepts of four-dimensional spaces, for the convenience of readers
who need 9 Preface such a recapitulation, while Appendix B deals
with the more exotic notions of tetrad theory, which admittedly
stands in wider need of elucidation. Both appendixes are meant in
any event to serve the useful purpose of establishing our notation
and collecting formulas for easy reference in the main body of the
book. The general reader may accordingly find it helpful first to
peruse one or both of the appendixes before turning to the
Introduction and Chapter 1. H. -j.











