Buchdahl bound, photon ring, ISCO and radial acceleration in Einstein-æther theory
arXiv:2411.02550 · doi:10.1103/4y9j-wyrf
Abstract
Spherically symmetric Einstein-æther (EÆ) theory with a Maxwell-like kinetic term is revisited. We consider a general choice of the metric and the æther field, finding that:~(i) there is a gauge freedom allowing one always to use a diagonal metric; and~(ii) the nature of the Maxwell equation forces the æther field to be time-like in the coordinate basis. We derive the vacuum solution and confirm that the innermost stable circular orbit (ISCO) and photon ring are enlarged relative to general relativity (GR). Buchdahl's theorem in EÆ theory is derived. For a uniform physical density, we find that the upper bound on compactness is always lower than in GR. Additionally, we observe that the Newtonian and EÆ radial acceleration relations run parallel in the low pressure limit. Our analysis of EÆ theory may offer novel insights into its interesting phenomenological generalization: Æther--scalar--tensor theory (ÆST).
arXiv comment15 pages, 4 figures
References in corpus (70)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Planck 2015 results. XIII. Cosmological parameters
- Planck 2013 results. XVI. Cosmological parameters
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- Modified Gravity and Cosmology
- Quantum Gravity at a Lifshitz Point
- Lorentz-Violating Extension of the Standard Model
- First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
- Relativistic gravitation theory for the MOND paradigm
- Gravity, Lorentz Violation, and the Standard Model
- Gravity with a dynamical preferred frame
- Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
- Einstein-Aether Waves
- One Law To Rule Them All: The Radial Acceleration Relation of Galaxies
- Constraints on black-hole charges with the 2017 EHT observations of M87*
- Lorentz-Violating Vector Fields Slow the Universe Down
- Black holes in Einstein-aether and Horava-Lifshitz gravity
- A new relativistic theory for Modified Newtonian Dynamics
- Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and Gravity
- Gravity, Gauge Theories and Geometric Algebra
- Post-Newtonian parameters and constraints on Einstein-aether theory
- The Tensor-Vector-Scalar theory and its cosmology
- A stratified framework for scalar-tensor theories of Modified Dynamics
- Shadows and deflection angle of charged and slowly rotating black holes in Einstein-Æther theory
- Black Holes in Einstein-Aether Theory
- Constraints and Stability in Vector Theories with Spontaneous Lorentz Violation
- Constraints on Einstein-aether theory after GW170817
- Regular rotating electrically charged black holes and solitons in nonlinear electrodynamics minimally coupled to gravity
- Mechanics of universal horizons
- Static post-Newtonian equivalence of GR and gravity with a dynamical preferred frame
- Spherical Solutions in Einstein-Aether Theory: Static Aether and Stars
- Undoing the twist: the Hořava limit of Einstein-aether
- Neutron stars in Einstein-aether theory
- Numerical simulations of gravitational collapse in Einstein-aether theory
- Perturbations and quasi-normal modes of black holes in Einstein-Aether theory
- Slowly rotating black holes in Einstein-æther theory
- Galactic rotation curves, the baryon-to-dark-halo-mass relation and space-time scale invariance
- Towards thermodynamics of universal horizons in Einstein-æther theory
- The Radial Acceleration Relation in CLASH Galaxy Clusters
- A general class of gravitational theories as alternatives to dark matter where the speed of gravity always equals the speed of light
- Optical appearance of Einstein-Æther black hole surrounded by thin disk
- Generic features of Einstein-Aether black holes
- Buchdahl-Bondi limit in modified gravity: Packing extra effective mass in relativistic compact stars
- Status of Horava gravity: A personal perspective
- The gravitational field of X-COP galaxy clusters
- Modified gravity approach based on a preferred time foliation
- Gravitational wave forms, polarizations, response functions and energy losses of triple systems in Einstein-Aether theory
- Static Spherically Symmetric Einstein-aether models II: Integrability and the Modified Tolman-Oppenheimer-Volkoff approach
- Static Spherically Symmetric Einstein-aether models I: Perfect fluids with a linear equation of state and scalar fields with an exponential self-interacting potential
- Spherically symmetric static black holes in Einstein-aether theory
- Aether scalar tensor theory: Linear stability on Minkowski space
- Measuring galaxy cluster mass profiles into the low acceleration regime with galaxy kinematics
- A Static Spherically Symmetric Solution of the Einstein-aether Theory
- Does GW170817 falsify MOND?
- Gravitational collapse and formation of universal horizons in Einstein-aether theory
- Aether scalar tensor theory confronted with weak lensing data at small accelerations
- Dynamical system analysis of cosmological evolution in the Aether scalar tensor theory
- Relativistic Khronon Theory in agreement with Modified Newtonian Dynamics and Large-Scale Cosmology
- Cosmological Dynamics of Relativistic MOND
- Dressed black holes in the new tensor-vector-scalar theory
- Vacuum solutions in the Einstein-Aether Theory
- Time evolution of the local gravitational parameters and gravitational wave polarizations in a relativistic MOND theory
- Aether scalar tensor theory: Hamiltonian Formalism
- Spontaneous color polarization as a modus originis of the dynamic aether
- A new scale in the quasi-static limit of Aether Scalar Tensor Theory
- On optical appearance of Einstein-Maxwell-Æther black holes surrounded by various accretions
- Is Birkhoff's Theorem Valid in Einstein-Aether Theory?
- Stealth black holes in Aether Scalar Tensor theory
- Sudden cosmological singularities in Aether scalar-tensor theories
- Null Surfaces in Static Space-times