Titlebook: General Relativity, Cosmology and Astrophysics; Perspectives 100 yea Jiří Bičák,Tomáš Ledvinka Book 2014 Springer International Publishing

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Loop Quantum Gravity and the Planck Regime of Cosmology relation involving the scalar and tensor power spectra and a new source for non-Gaussianities. The genesis of the large scale structure of the universe can be traced back to quantum gravity fluctuations in the Planck regime. This report provides a bird’s eye view of these developments for the gener

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Book 2014ext 100 years. .The content is divided into four broad parts: (i) Gravity and Prague, (ii) Classical General Relativity, (iii) Cosmology and Quantum Gravity, and (iv) Numerical Relativity and Relativistic Astrophysics..

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Complexity in New Product Developmentic effects of the self-force, including the . correction to the precession rate of the periastron. I will highlight the way in which such calculations allow us to make a fruitful contact with other approaches to the two-body problem.

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思考而得

Hamiltonian Formalism for Spinning Black Holes in General Relativityst-Newtonian Hamiltonians are given in explicit analytic forms. A next-to-leading order in spin generalization is presented, others are mentioned. Comparisons between the Hamiltonian formalisms by ADM, Dirac, and Schwinger are made.

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Stability of Marginally Outer Trapped Surfaces and Geometric Inequalitiesmmetric case, angular momentum. Some of those inequalities are global in nature while others are local, with interesting relationships between them. In this lecture the notion of stable MOTS will be reviewed and some of the geometric inequalities involving stable MOTS will be described.

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Stationary Black-Hole Binaries: A Non-existence Proofroperties, we present a non-existence proof for the equilibrium configuration in question. From a mathematical point of view, this result is a further example for the efficiency of the inverse (“scattering”) method in non-linear theories.

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Instability of Anti-de Sitter Spacetimemation for a large class of initial data arbitrarily close to the AdS solution. We conjecture that this instability is triggered by a resonant mode mixing which gives rise to diffusion of energy from low to high frequencies.

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