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Departamento de Gravitación y Teoría de CamposSeminarios 2016 |
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Instituto de Ciencias Nucleares, UNAM |
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Departamento de Gravitación y Teoría de CamposSeminarios 2016 |
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Instituto de Ciencias Nucleares, UNAM |
Jueves 17 de marzo, a las 17:00 hrs en el salón de seminarios A2.25, 2. piso del ICN
William Cuervo (Fac. de Ciencias, UNAM / Universidad Autónoma Metropolitana)
Loop quantum geometry defeats black hole singularity
| Quantum Geometry effects à la Loops is applied to the region where classical general relativity fails and the Schwarzschild singularity appears. Using an effective semiclassical geometry as well as the qualitative theory of ordinary differential equations we show that at this regime the spacetime is not singular: i) Effective Hamilton's equations for the geometry fulfill the conditions of a theorem for extendibility of solutions to first order differential equations and hence the corresponding space-time can be extended to arbitrary large proper times. ii) The Raychauduri equation is finite term by term, resolving the singularities of classical geodesic congruences. iii) All effective curvature invariants are bounded and hence curvature singularities are absent. iv) The volume does not evolve towards zero in a finite proper time ruling out strong singularities. |
