Analogy of space-time as an elastic medium, estimation creep coefficient of space from MOND theory, gravitational lensing and via time data from the GPS effect, discussion of the results for dark matter and Einstein's field equation

Abstract

After recalling the principles that allow space-time to be considered by analogy as an elastic medium, we show how the modified gravity according to the MOND theory concerning the anomaly of the velocities of stars at the periphery of galaxies can be seen as a creep of space acting on the radius of galaxies that gives a creep coefficient of Phi(space) = ((a0/a) x (Ro local/ Ro mean) -1). The values vary between 0.2 and 9 depending on the type of galaxy and density distribution. Considering the gravitational lensing effect of the ball cluster we obtain a creep coefficient Phi (space) = (1-pv)/pv. With pv the percentage of visible matter and pDM the percentage of Dark matter from the global mass (pv + pDM =1). The values vary between 0.66 and 4 for this cluster. This paper therefore raises the question, via these creep coefficients, of the possible granular nature of the vacuum and therefore of space fabric on the one hand and proposes another dark matter-free approach based on the creep of the texture of space to explain gravitational anomalies on the other hand.

This article proposes an alternative to dark matter via the analogy of space-time as an equivalent elastic medium, a spatial fabric being subject to creep under the loading of the classical matter constituting the cosmic web. This paper establishes the order of magnitude of this creep coefficient from the Mond theory, gravitational lenses and time deformation

References in corpus (5)

• MOND theory
• The stellar halo of the Milky Way traced by blue horizontal-branch stars in the Subaru Hyper Suprime-Cam Survey
• The binding of cosmological structures by massless topological defects
• Analogy of space time as un elastic medium -- Can we establish a thermal expansion coefficient of space from the cosmological constant Lambda?
• Dark matter effect attributed to the inherent structure of cosmic space

Cited by in corpus (2)

• Analogy of space-time as an elastic medium -- Study of the perturbation tensor of the metric $h_{\mu \nu }$ through the prism of the analogy of the theory of elasticity -- Analysis and potential consequences
• A Cosmological Bragg Law: Interpreting the CMB as a Diffractogram of Foliated Spacetime