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The fractional Zener model of the spacetime. (English) Zbl 1416.83084

Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 20th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 2–7, 2018. Sofia: Avangard Prima; Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 20, 115-121 (2019).
Summary: In the last decade topnotch experiments (LIGO and GP-B) have putted into evidence the viscoelastic nature of the space time. In the present work we have applied the viscoelastic constitutive equations for a spacetime model, based on the fractional Zener representation, which is the most general way of thinking about materials. Dispersion and dissipation are discussed in the frame of the spacetime, considered as a viscoelastic material.
For the entire collection see [Zbl 1408.53003].

MSC:

83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
83C35 Gravitational waves
81V17 Gravitational interaction in quantum theory
35R11 Fractional partial differential equations
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