From maximum force to the field equations of general relativity -- and implications

Abstract

There are at least two ways to deduce Einstein's field equations from the principle of maximum force $c^4/4G$ or from the equivalent principle of maximum power $c^5/4G$. Tests in gravitational wave astronomy, cosmology, and numerical gravitation confirm the two principles. Apparent paradoxes about the limits can all be resolved. Several related bounds arise. The limits illuminate the beauty, consistency and simplicity of general relativity from an unusual perspective.

12 pages. Selected for Honorable Mention in the Gravity Research Foundation 2022 Awards for Essays on Gravitation. arXiv admin note: substantial text overlap with arXiv:2112.15418

References in corpus (9)

• Properties and astrophysical implications of the 150 Msun binary black hole merger GW190521
• Maximum Tension: with and without a cosmological constant
• Are Black Holes Springy?
• Renormalization Group Running of Newton's G: The Static Isotropic Case
• Maximum Force in Modified Gravity Theories
• Tests For Maximum Force and Maximum Power
• Comment on "Maximum force and cosmic censorship"
• Introducing the inverse hoop conjecture for black holes
• Maximum force conjecture in Kiselev, $4$D-EGB and Barrow corrected-entropy black holes

Cited by in corpus (3)

• A Maximum Force Perspective on Black Hole Thermodynamics, Quantum Pressure, and Near-Extremality
• From maximum force to physics in 9 lines and towards relativistic quantum gravity
• Extended Relativity: Beyond