A Hamiltonian formulation of general relativity based on certain spinorial variables is
introduced. These variables simplify the constraints of general relativity considerably and
enable one to imbed the constraint surface in the phase space of Einstein's theory into that …

We argue that superstring collisions at Planckian energies and small deflection angles are
calculable through an evaluation and resummation of string loops in flat space-time. This
leads to a systematic expansion of the collision in classical general relativity and quantum  …

A set of simple rules for constructing the maximal (eg analytic) extensions for any metric with
a Killing field in an (effectively) two-dimensional spacetime is formulated. The application of
these rules is extremely straightforward, as is demonstrated at various examples and …

The search for a quantum gravity theory, a theory expected to combine the principles of
general relativity and quantum theory, has led to some of the most deepest and most difficult
conceptual and mathematical questions of modern physics. The present book, addressing …

… It is shown how the path integral approach can be applied to the quantization of gravity and how
it leads to the concepts of black hole temperature and intrinsic quantum mechanical entropy …
(UK). Primary Subject. CLASSICAL AND QUANTUM MECHANICS, GENERAL …

In these lectures we report recent work on the exact quantization of dimensionally reduced
gravity [1, 2, 3, 4]. Assuming the presence of commuting Killing symmetries which effectively
eliminate the dependence on all but two space-time coordinates allows us to cast the …

… identity); conclusion. (UK). Primary Subject. CLASSICAL AND QUANTUM
MECHANICS, GENERAL PHYSICS (A1100). Source. Hawking, SW (Cambridge
Univ. (UK)); Israel, W. (Alberta Univ., Edmonton (Canada). Theoretical …

We test the holographic conjecture of brane black holes: that a full classical 5D solution will
correspond to a quantum corrected 4D black hole. Using the Schwarzschild-AdS black
string, we compare the braneworld back reaction at strong coupling with the calculation of …

A unified description is presented of the physical observables and thermodynamic variables
associated with black hole solutions in generic 2-D dilaton gravity. The Dirac quantization of
these theories is reviewed and an intriguing relationship between the entropy of the black …

Several proposed and performed experiments for the measurement of quantum and
gravitational effects in ring interferometers of various types (with neutrons, superconducting
electrons and superfluid helium as well as photons) are discussed in a unified framework …