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I will review the recent progress, including my own contribution, in addressing the Kerr Stability Conjecture (克尔时空稳定性猜想)and the Strong Cosmic Censorship Hypothesis (强宇宙监督假设),both of which are among t...
I describe the treatment of gravity as a quantum effective field theory. This allows a natural separation of the (known) low energy quantum effects from the (unknown) high energy contributions. Within...
A class of loop diagrams in general relativity appears to have a behavior which would upset the utility of the energy expansion for quantum effects. We show through the study of specific diagrams that...
In quantum field theory there is now a well developed technique, effective field theory, which allows one to obtain low energy quantum predictions in “non-renormalizable theories, using only the degr...
Abstract: We generate exact solutions of the non-autonomous chiral model, which in particular arises in General Relativity, using a general result of the bidifferential calculus approach to integrable...
Abstract: The present thesis aims at an extension of the canonical formalism of Arnowitt, Deser, and Misner from self-gravitating point-masses to objects with spin. This would allow interesting applic...
On the basis of his ‘Z¨urich Notebook’ I shall describe a particularly fruitful phase in Einstein’s struggle on the way to general relativity. These research notes are an extremely illuminating sourc...
A simple and direct derivation of the variational principle and effective actions for a spherical charged dust shell in general relativity is offered. This principle is based on the relativistic versi...
We consider the motion of tachyons (faster-than-light particles)in the framework of General Relativity. An important feature is the large contribution of low energy tachyons to the energy-momentum ten...
The method of geodesic deviations provides analytic approximations to geodesics in arbitrary background space-times. As such the method is a useful tool in many practical situations. In this note we p...
Aureliano de Mira Fernandes, born in 1884 in Portugal, was professor of Differential and Integral Calculus and Rational Mechanics, at Instituto Superior T´ecnico,from its foundation in 1911, onw...
The description of many dynamical problems like the particle motion in higher dimensional spherically and axially symmetric space-times is reduced to the inversion of a holomorphic hyperelliptic inte...
Locally rotationally symmetric (L.R.S.) Bianchi type II stiff fluid cos-mological model is investigated. To get the deterministic model of the universe, we have assumed a condition A = Bm between metr...
We present the first stationary, axisymmetric neutron star models with meridional circulation in general relativity. For that purpose, we developed GRNS, a new code based on a fixed point iteration.

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