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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...
Scientists ditch approximations,begin modeling universe with Einstein’s full theory of General Relativity
Scientists ditch approximations modeling universe Einstein’s full theory General Relativity
2016/7/4
Research teams on both sides of the Atlantic have shown that precise modeling of the universe and its contents will change the detailed understanding of the evolution of the universe and the growth of...
The Third Way to General Relativity.
Hilbert’s Foundation of Physics:From a Theory of Everything to a Constituent of General Relativity
Hilbert’s Foundation of Physics General Relativity
2015/3/27
Hilbert’s Foundation of Physics:From a Theory of Everything to a Constituent of General Relativity.
General Relativity in the Context of Weimar Culture
General Relativity Context of Weimar Culture
2015/3/26
To develop a more fine-grained picture of how the theory of general relativity was received and elaborated from 1914 until 1924, we move outside the personal networks of its creator, Albert Einstein. ...
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...
Investigation of symmetries and conserved charges in general relativity
The vector of gravity The black hole mechanics The first law Accelerate the black hole A black hole. Static fixation Bubble time and space
2014/12/9
This thesis presents a series of results relating to conserved charges in general relativity. In particular, we give a general expression for a gravitational charge corresponding to a boost Killing ve...
Genesis of general relativity - Discovery of general relativity
Genesis of general relativity Discovery of general relativity History and Philosophy of Physics
2012/4/24
The intermediate stage of the development of general relativity is inseparable of Marcel Grossmann's mathematical assistance. Einstein acknowledges Grossmann's help during 1912-1914 to the development...
Large-scale clustering of galaxies in general relativity
Large-scale clustering galaxies general relativity
2011/10/17
Several recent studies have shown how to properly calculate the observed clustering of galaxies in a relativistic context, and uncovered corrections to the Newtonian calculation that become significan...
Isotropic extensions of the vacuum solutions in general relativity
Isotropic extensions of the vacuum solutions in general relativity
2011/10/17
In this work we obtain isotropic extensions of the usual spherically symmetric vacuum geometries in general relativity. Exact and perturbative solutions are derived. The classes of geometries obtained...
Enlargement of the Transformation Group of General Relativity: Spherically Symmetric Solutions
Gravity theory, transformation groups Lagrangians fi eld equations stellar model external spherically symmetric solutions
2011/10/18
A theory has been presented previously in which the geometrical structure of a real four-dimensional space time manifold is expressed by a real orthonormal tetrad, and the group of diffeomorphisms is ...
Odyssey 2 : A mission toward Neptune and Triton to test General Relativity
Odyssey mission Neptune Triton General Relativity
2011/10/18
Odyssey 2 will be proposed in December 2010 for the next call of M3 missions for Cosmic Vision 2015-2025. This mission, under a Phase 0 study performed by CNES, will aim at Neptune and Triton. Two set...
On the Local Existence for the Characteristic Initial Value Problem in General Relativity
Characteristic Initial Value Problem General Relativity Analysis of PDEs
2011/9/29
Abstract: Given a truncated incoming null cone and a truncated outgoing null cone intersecting at a two sphere $S$ with smooth characteristic initial data, a theorem of Rendall shows that the vacuum E...