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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Unsolved conjectures in Mathematical General Relativity
数学 广义相对论 未解 猜想
2023/5/5
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...
GENERAL-RELATIVITY AS AN EFFECTIVE-FIELD THEORY - THE LEADING QUANTUM CORRECTIONS
Effective gravity quantum field theory natural separation low energy quantum effects high energy massless particles
2014/12/23
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...
Power counting of loop diagrams in general relativity
Cyclic graph the general theory of relativity energy expansion quantum effects physical power calculation
2014/12/23
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...
The Quantum Theory of General Relativity at Low Energies
Quantum field theory low energy quantum the interaction energy general relativity low energy
2014/12/23
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...
The non-autonomous chiral model and the Ernst equation of General Relativity in the bidifferential calculus framework
The non-autonomous chiral model he Ernst equation the bidifferential calculus framework
2011/7/28
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...
Canonical Formulation of Spin in General Relativity
Dissertation canonical formalism spin post-Newtonian approximation binary stars
2011/7/28
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...
Einstein's `Zürich Notebook' and his Journey to General Relativity
the gravitational field equations Einstein’s Z¨urich Notebook
2011/8/29
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...
Relativistic analogue of the D'Alembert principle of virtual displacements and the effective actions for the spherically-symmetric charged dust shell in General Relativity
Relativistic analogue D'Alembert principle of virtual displacements effective actions spherically-symmetric charged dust shell General Relativity
2010/12/20
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...
General relativity, differential geometry, and unitary theories in the work of Mira Fernandes
General relativity differential geometry unitary theories
2010/12/27
An analysis of the work of Mira Fernandes on unitary theories is presented.
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...
Epicycles and Poincaré Resonances in General Relativity
Epicycles Poincaré Resonances General Relativity
2010/12/20
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...
General relativity, differential geometry, and unitary theories in the work of Mira Fernandes
General relativity differential geometry unitary theories
2010/12/21
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...
Inversion of hyperelliptic integrals of arbitrary genus with application to particle motion in General Relativity
Inversion of hyperelliptic integrals arbitrary genus application particle motion General Relativity
2010/12/20
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...
L.R.S. Bianchi type II Stiff Fluid cosmological model with Decaying Vacuum Energy Density $\Lambda$ in general relativity
LRS Bianchi type II models Cosmological constant
2010/12/20
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...
Stationary, Axisymmetric Neutron Stars with Meridional Circulation in General Relativity
Stationary Axisymmetric Neutron Stars Meridional Circulation General Relativity
2010/12/20
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.