Weak Field Limit of the Nonminimally Coupled Weyl Connection Gravity

Abstract

The true nature of gravity is a remarkable open problem in Gravitation. Theoretical and observational motivations open the avenue of alternative theories of gravity. One possibility resorts to nonminimal couplings and non-metricity properties of spacetime, and is dubbed as nonminimally coupled Weyl connection gravity. It has the advantage of leading to metric field equations of second order together with a constraint equation for the Weyl vector, and has well behaved space-form. We analyse this model by exploring its weak regime and its implications for astrophysics and cosmology.

8 pages, Contribution to the "13th International Conference on Mathematical Modeling in Physical Sciences (ICMSquare)", Kalamata, Greece, September-October 2024

References in corpus (12)

• Extra force in $f(R)$ modified theories of gravity
• The Newtonian Limit of F(R) gravity
• Weyl Gravity Revisited
• Nonminimally Coupled Boltzmann Equation I: Foundations
• Jeans Instability in Non-Minimal Matter-Curvature Coupling Gravity
• Using numerical methods from nonlocal optics to simulate the dynamics of N-body systems in alternative theories of gravity
• Quantum kinetic theory of Jeans instability in non-minimal matter-curvature coupling gravity
• ΛCDM suitably embedded in f(R) with a non-minimal coupling to matter
• An Ostrogradsky Instability Analysis of Non-minimally Coupled Weyl Connection Gravity Theories
• Cosmological Solutions of the Non-minimally Coupled Weyl Connection Gravity Theories
• Pressureless stationary solutions in a Newton-Yukawa gravity model
• Black Hole Solutions in Non-Minimally Coupled Weyl Connection Gravity

Cited by in corpus (1)

• On Scalar Cosmological Perturbations in Non-Minimally Coupled Weyl Connection Gravity