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An elastic Lagrangian for space-time

An elastic Lagrangian for space-time. Angelo Tartaglia and Ninfa Radicella Dipartimento di Fisica, Politecnico di Torino and INFN. The universe: a dualistic description. Space-time/Matter-energy. What is this?. r. r’. X a. “Elastic” continua. N+n. N. ξ . x μ. N.

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An elastic Lagrangian for space-time

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  1. An elastic Lagrangian for space-time Angelo Tartaglia and Ninfa Radicella Dipartimento di Fisica, Politecnico di Torino and INFN MG12

  2. The universe: a dualistic description Space-time/Matter-energy What is this? MG12

  3. r r’ Xa “Elastic” continua N+n N ξ xμ N MG12

  4. The strain is described by the differential change of u MG12

  5. Metricity MG12

  6. Defects MG12

  7. Hooke’s law The “elastic” approach Stress tensor Elastic modulus tensor MG12

  8. Isotropic medium Lamé coefficients Lorentz signature notation MG12

  9. Correspondence with the usual way of thinking Potential term “Kinetic” term Geometry MG12

  10. Fitting the data (307 SnIa) MG12 10

  11. Reduced2of the fits (2 parameters) 2 = 1.017 CD 2 = 1.019 ΛCDM B =λ+2μ/3=(32) 10-7 Mpc-2 =(32) 10-52 m-2 MG12

  12. Conclusion The CD theory is a theory of space-time preserving all general features of GR. CD introduces the idea of a global symmetry fixing defect. Local effects coincide with GR effects The nature of space-time shows up only at the cosmic scale, where CD performs at least as well as other theories, however providing a compact and consistent picture MG12 12

  13. Space time and the ether …. according to the general theory of relativity space is endowed with physical qualities; in this sense, therefore, there exists an ether. …….But this ether may not be thought of as endowed with the quality characteristic of ponderablemedia, as consisting of parts which may be tracked through time. …… Albert Einstein, Leiden, 1920 MG12

  14. A. Tartaglia, N. Radicella, Phys. Rev. D, 76, 083501 (2007) A. Tartaglia, M. Capone, Int. Jour. Mod. Phys. D, 17, 275-299 (2008) A. Tartaglia, M. Capone, V. Cardone, N. Radicella, Int. Jour. Mod. Phys. D, 18, n. 3, 1-12 (2009) A. Tartaglia, Geometry, Integrability and Quantization X., Varna, Bulgaria, 6-11 June 2008, Publisher SOFIA: Avangard Prima, p. 248-264, 2009 A. Tartaglia, N. Radicella, arXiv:0903.4096 MG12 14

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