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This book discusses some of the open questions addressed by
researchers in general relativity. Photons and particles play
important roles in the theoretical framework, since they are
involved in analyzing and measuring gravitational fields and in
constructing mathematical models of gravitational fields of various
types. The authors highlight this aspect covering topics such as
the construction of models of Bateman electromagnetic waves and
analogous gravitational waves, the studies of gravitational
radiation in presence of a cosmological constant and the
gravitational compass or clock compass for providing an operational
way of measuring a gravitational field. The book is meant for
advanced students and young researchers in general relativity, who
look for an updated text which covers in depth the calculations
and, equally, takes on new challenges. The reader, along the
learning path, is stimulated by provocative examples interspersed
in the text that help to find novel representations of the uses of
particles and photons.
The present volume aims to be a comprehensive survey on the
derivation of the equations of motion, both in General Relativity
as well as in alternative gravity theories. The topics covered
range from the description of test bodies, to self-gravitating
(heavy) bodies, to current and future observations. Emphasis is put
on the coverage of various approximation methods (e.g., multipolar,
post-Newtonian, self-force methods) which are extensively used in
the context of the relativistic problem of motion. Applications
discussed in this volume range from the motion of binary systems --
and the gravitational waves emitted by such systems -- to
observations of the galactic center. In particular the impact of
choices at a fundamental theoretical level on the interpretation of
experiments is highlighted. This book provides a broad and
up-do-date status report, which will not only be of value for the
experts working in this field, but also may serve as a guideline
for students with background in General Relativity who like to
enter this field.
The present volume aims to be a comprehensive survey on the
derivation of the equations of motion, both in General Relativity
as well as in alternative gravity theories. The topics covered
range from the description of test bodies, to self-gravitating
(heavy) bodies, to current and future observations. Emphasis is put
on the coverage of various approximation methods (e.g., multipolar,
post-Newtonian, self-force methods) which are extensively used in
the context of the relativistic problem of motion. Applications
discussed in this volume range from the motion of binary systems --
and the gravitational waves emitted by such systems -- to
observations of the galactic center. In particular the impact of
choices at a fundamental theoretical level on the interpretation of
experiments is highlighted. This book provides a broad and
up-do-date status report, which will not only be of value for the
experts working in this field, but also may serve as a guideline
for students with background in General Relativity who like to
enter this field.
The book is about exact space-time models of the gravitational
fields produced by gravitational radiation. The authors' extensive
work in the field is reviewed in order to stimulate the study of
such models, that have been known for a long time, and to highlight
interesting physical aspects of the existing models in some novel
detail. There is an underlying simplicity to the gravitational
radiation studied in this book. Apart from the basic assumption
that the radiation has clearly identifiable wave fronts, the
gravitational waves studied are directly analogous to
electromagnetic waves. The book is meant for advanced students and
researchers who have a knowledge of general relativity sufficient
to carry out research in the field.
Due to steadily improving experimental accuracy, relativistic
concepts - based on Einstein's theory of Special and General
Relativity - are playing an increasingly important role in modern
geodesy. This book offers an introduction to the emerging field of
relativistic geodesy, and covers topics ranging from the
description of clocks and test bodies, to time and frequency
measurements, to current and future observations. Emphasis is
placed on geodetically relevant definitions and fundamental methods
in the context of Einstein's theory (e.g. the role of observers,
use of clocks, definition of reference systems and the geoid, use
of relativistic approximation schemes). Further, the applications
discussed range from chronometric and gradiometric determinations
of the gravitational field, to the latest (satellite) experiments.
The impact of choices made at a fundamental theoretical level on
the interpretation of measurements and the planning of future
experiments is also highlighted. Providing an up-to-the-minute
status report on the respective topics discussed, the book will not
only benefit experts, but will also serve as a guide for students
with a background in either geodesy or gravitational physics who
are interested in entering and exploring this emerging field.
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