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Metric Theories of Gravity - Perturbations and Conservation Laws (Hardcover)
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Metric Theories of Gravity - Perturbations and Conservation Laws (Hardcover)
Series: De Gruyter Studies in Mathematical Physics
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By focusing on the mostly used variational methods, this monograph
aspires to give a unified description and comparison of various
ways of constructing conserved quantities for perturbations and to
study symmetries in general relativity and modified theories of
gravity. The main emphasis lies on the field-theoretical covariant
formulation of perturbations, the canonical Noether approach and
the Belinfante procedure of symmetrisation. The general formalism
is applied to build the gauge-invariant cosmological perturbation
theory, conserved currents and superpotentials to describe
physically important solutions of gravity theories. Meticulous
attention is given to the construction of conserved quantities in
asymptotically-flat spacetimes as well as in asymptotically
constant curvature spacetimes such as the Anti-de Sitter space.
Significant part of the book can be used in graduate courses on
conservation laws in general relativity. THE SERIES: DE GRUYTER
STUDIES IN MATHEMATICAL PHYSICS The series is devoted to the
publication of monographs and high-level texts in mathematical
physics. They cover topics and methods in fields of current
interest, with an emphasis on didactical presentation. The series
will enable readers to understand, apply, and develop further, with
sufficient rigor, mathematical methods to given problems in
physics. The works in this series are aimed at advanced students
and researchers in mathematical and theoretical physics. They can
also serve as secondary reading for lectures and seminars at
advanced levels.
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