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A Nonlocal Realization of MOND that Interpolates from Cosmology to Gravitationally Bound Systems

C. Deffayet, R. P. Woodard

Abstract

Nonlocal modifications of gravity derive from corrections to the quantum gravitational stress tensor which grow nonperturbatively strong during primordial inflation and may persist to the current epoch. Phenomenological constructions have been given that realize MOND in gravitationally bound systems and, separately, reproduce all the cosmological phenomena usually ascribed to dark matter, including the cosmic microwave background radiation, baryon acoustic oscillations and linearized structure formation. In this work we exhibit a single model that interpolates between the two regimes.

A Nonlocal Realization of MOND that Interpolates from Cosmology to Gravitationally Bound Systems

Abstract

Nonlocal modifications of gravity derive from corrections to the quantum gravitational stress tensor which grow nonperturbatively strong during primordial inflation and may persist to the current epoch. Phenomenological constructions have been given that realize MOND in gravitationally bound systems and, separately, reproduce all the cosmological phenomena usually ascribed to dark matter, including the cosmic microwave background radiation, baryon acoustic oscillations and linearized structure formation. In this work we exhibit a single model that interpolates between the two regimes.

Paper Structure

This paper contains 12 sections, 36 equations.

Table of Contents

  1. Introduction
  2. The Cosmological Regime
  3. A Timelike 4-Velocity Field
  4. The Energy Density
  5. A Lagrangian Formalism
  6. The Gravitationally Bound Regime
  7. Requirements of the BTFR
  8. Requirements of Weak Lensing
  9. An Invariant Lagrangian Formulation
  10. Synthesis
  11. Conclusions
  12. Appendix: $Z[g](x)$ for Cosmology