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An application of information theory to stochastic classical gravitational fields

Author

Listed:
  • Angulo, J.
  • Angulo, J.C.
  • Angulo, J.M.

Abstract

The objective of this study lies on the incorporation of the concepts developed in the Information Theory (entropy, complexity, etc.) with the aim of quantifying the variation of the uncertainty associated with a stochastic physical system resident in a spatiotemporal region. As an example of application, a relativistic classical gravitational field has been considered, with a stochastic behavior resulting from the effect induced by one or several external perturbation sources. One of the key concepts of the study is the covariance kernel between two points within the chosen region. Using this concept and the appropriate criteria, a methodology is proposed to evaluate the change of uncertainty at a given spatiotemporal point, based on available information and efficiently applying the diverse methods that Information Theory provides. For illustration, a stochastic version of the Einstein equation with an added Gaussian Langevin term is analyzed.

Suggested Citation

  • Angulo, J. & Angulo, J.C. & Angulo, J.M., 2018. "An application of information theory to stochastic classical gravitational fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 129-141.
  • Handle: RePEc:eee:phsmap:v:499:y:2018:i:c:p:129-141
    DOI: 10.1016/j.physa.2018.02.009
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    References listed on IDEAS

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    1. F. J. Alonso & M. C. Bueso & J. M. Angulo, 2016. "Dependence Assessment Based on Generalized Relative Complexity: Application to Sampling Network Design," Methodology and Computing in Applied Probability, Springer, vol. 18(3), pages 921-933, September.
    2. López-Rosa, S. & Angulo, J.C. & Antolín, J., 2009. "Rigorous properties and uncertainty-like relationships on product-complexity measures: Application to atomic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(10), pages 2081-2091.
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