Black holes and neutron stars in the generalized tensor-vector-scalar theory

Abstract

Bekenstein's Tensor-Vector-Scalar (TeVeS) theory has had considerable success as a relativistic theory of Modified Newtonian Dynamics (MoND). However, recent work suggests that the dynamics of the theory are fundamentally flawed and numerous authors have subsequently begun to consider a generalization of TeVeS where the vector field is given by an Einstein-Aether action. Herein, I develop strong-field solutions of the generalized TeVeS theory, in particular exploring neutron stars as well as neutral and charged black holes. I find that the solutions are identical to the neutron star and black hole solutions of the original TeVeS theory, given a mapping between the parameters of the two theories, and hence provide constraints on these values of the coupling constants. I discuss the consequences of these results in detail including the stability of such spacetimes as well as generalizations to more complicated geometries.

arXiv commentAccepted for publication in Physical Review D

References in corpus (12)

• Relativistic gravitation theory for the MOND paradigm
• Gravity with a dynamical preferred frame
• Modified Newtonian Dynamics as an Alternative to Dark Matter
• The Tensor-Vector-Scalar theory and its cosmology
• Generalizing TeVeS Cosmology
• Stability of spherically symmetric solutions in modified theories of gravity
• Spherically symmetric, static spacetimes in a tensor-vector-scalar theory
• TeVeS gets caught on caustics
• Preferred frame parameters in the tensor-vector-scalar theory of gravity and its generalization
• Structure of Neutron Stars in Tensor-Vector-Scalar Theory
• Black holes in the TeVeS theory of gravity and their thermodynamics
• Stellar Oscillations in Tensor-Vector-Scalar Theory

Cited by in corpus (8)

• Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
• Gravitational waves in Einstein-æther and generalized TeVeS theory after GW170817
• Neutron stars in Scalar-Tensor-Vector Gravity
• Gravitational waves in Einstein-Æther theory and generalized TeVeS theory after GW170817
• Scalars, Vectors and Tensors from Metric-Affine Gravity
• The Geometry Of Modified Newtonian Dynamics
• Tensor-vector-scalar-modified gravity: from small scale to cosmology
• Stability and Quasinormal Modes of Black holes in Tensor-Vector-Scalar theory: Scalar Field Perturbations