Collapse to Black Holes in Brans-Dicke Theory: II. Comparison with General Relativity

Abstract

We discuss a number of long-standing theoretical questions about collapse to black holes in the Brans-Dicke theory of gravitation. Using a new numerical code, we show that Oppenheimer-Snyder collapse in this theory produces black holes that are identical to those of general relativity in final equilibrium, but are quite different from those of general relativity during dynamical evolution. We find that there are epochs during which the apparent horizon of such a black hole passes {\it outside\/} the event horizon, and that the surface area of the event horizon {\it decreases\/} with time. This behavior is possible because theorems which prove otherwise assume $R_{ab}{l}^a{l}^b\ge 0$ for all null vectors $l^a$. We show that dynamical spacetimes in Brans-Dicke theory can violate this inequality, even in vacuum, for any value of $\omega$.

24 pages including figures, uuencoded gz-compressed postscript, Submitted to Phys Rev D

References in corpus (2)

• Collapse to Black Holes in Brans-Dicke Theory: I. Horizon Boundary Conditions for Dynamical Spacetimes
• "Are Black Holes in Brans-Dicke Theory precisely the same as in General Relativity?"

Cited by in corpus (108)

• Modified Gravity and Cosmology
• Testing General Relativity with Present and Future Astrophysical Observations
• Black holes, gravitational waves and fundamental physics: a roadmap
• Probes and Tests of Strong-Field Gravity with Observations in the Electromagnetic Spectrum
• Numerical Relativity and Compact Binaries
• Solar System experiments do not yet veto modified gravity models
• Linearized f(R) Gravity: Gravitational Radiation & Solar System Tests
• Spherically Symmetric Solutions in Higher-Derivative Gravity
• Coalescence of binary neutron stars in a scalar-tensor theory of gravity
• Neutron stars in scalar-tensor theories of gravity and catastrophe theory
• Kerr Black Holes are Not Unique to General Relativity
• The Cauchy problem of scalar-tensor theories of gravity
• Collapse to Black Holes in Brans-Dicke Theory: I. Horizon Boundary Conditions for Dynamical Spacetimes
• Rapidly rotating neutron stars in scalar-tensor theories of gravity
• Illusions of general relativity in Brans-Dicke gravity
• Spontaneous scalarization
• Numerical simulations of single and binary black holes in scalar-tensor theories: circumventing the no-hair theorem
• Probing Strong-Field Scalar-Tensor Gravity with Gravitational Wave Asteroseismology
• Scale dependent three-dimensional charged black holes in linear and non-linear electrodynamics
• Spherical neutron star collapse toward a black hole in tensor-scalar theory of gravity
• Characteristic Evolution and Matching
• Scalar gravitational wave from Oppenheimer-Snyder collapse in scalar- tensor theories of gravity
• Exploring New Physics Frontiers Through Numerical Relativity
• Cosmological apparent and trapping horizons
• Relativistic Hydrodynamic Evolutions with Black Hole Excision
• Black Hole Boundary Conditions and Coordinate Conditions
• Stars and black holes in varying speed of light theories
• Black hole entropy in scalar-tensor and f(R) gravity: an overview
• Black Hole Area in Brans-Dicke Theory
• Strong Brane Gravity and the Radion at Low Energies
• The omega-tends-to-infinity limit of Brans-Dicke theory
• Black Hole--Scalar Field Interactions in Spherical Symmetry
• Conformal equivalence in classical gravity: the example of "veiled" General Relativity
• Rotating Black Branes in Brans-Dicke-Born-Infeld Theory
• Volume Integral Theorem for Exotic Matter
• Classical Scalar Fields and the Generalized Second Law
• Characteristic Evolution and Matching
• Gravitational Wave Radiation from Compact Binary Systems in the Jordan-Brans-Dicke Theory
• On static spherically symmetric solutions of the vacuum Brans-Dicke theory
• Numerical simulations of stellar collapse in scalar-tensor theories of gravity
• Spherical collapse in f(R) gravity and the Belinskii-Khalatnikov-Lifshitz conjecture
• Phase transition of charged Black Holes in Brans-Dicke theory through geometrical thermodynamics
• Stability and instability of Ellis and phantom wormholes: Are there ghosts?
• Numerical relativity for Horndeski gravity
• Black hole excision with matching
• Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the land
• Global Monopoles in Brans-Dicke Theory of Gravity
• The spatial relation between the event horizon and trapping horizon
• Responses of the Brans-Dicke field due to gravitational collapses
• Scalar gravitational waves from relativistic stars in scalar-tensor gravity
• Spinning Wormholes in Scalar-Tensor Theory
• Numerical Evolution of Black Holes with a Hyperbolic Formulation of General Relativity
• Jordan frame no-hair for spherical scalar-tensor black holes
• Probing the Black Hole Metric. I. Black Hole Shadows and Binary Black-Hole Inspirals
• omega dependence of the scalar field in Brans-Dicke theory
• Detecting Free-Mass Common-Mode Motion Induced by Incident Gravitational Waves: Testing General Relativity and Source Direction via Fox-Smith and Michelson Interferometers
• Characteristic Evolution and Matching
• Extended phase space thermodynamics and $P-V$ criticality of charged black holes in Brans-Dicke theory
• Energy Norms and the Stability of the Einstein Evolution Equations
• Conformally rescaled spacetimes and Hawking radiation
• Treating instabilities in a hyperbolic formulation of Einstein's equations
• Gravitational Collapse In Husain Space-time For Brans-Dicke Gravity Theory with Power-law Potential
• The horizon-entropy increase law for causal and quasi-local horizons and conformal field redefinitions
• Horizon Problem Remediation via Deformed Phase Space
• On Traversable Lorentzian Wormholes in the Vacuum Low Energy Effective String Theory in Einstein and Jordan Frames
• Does accelerating universe indicates Brans-Dicke theory
• Numerical simulations of black hole-neutron star mergers in scalar-tensor gravity
• Semiclassical and Quantum Field Theoretic Bounds for Traversable Lorentzian Stringy Wormholes
• Dynamical evolution of boson stars in Brans-Dicke theory
• Stability of the Einstein static Universe in Einstein-Cartan-Brans-Dicke gravity
• Can accretion properties distinguish between a naked singularity, wormhole and black hole?
• Charged black holes in string-inspired gravity: II. Mass inflation and dependence on parameters and potentials
• Stability and Quasinormal Modes of Black holes in Tensor-Vector-Scalar theory: Scalar Field Perturbations
• Wormholes and Naked Singularities in Brans-Dicke cosmology
• Stiff Matter Solution in Brans-Dicke Theory and The General Relativity Limit
• A 3+1 Computational Scheme for Dynamic Spherically Symmetric Black Hole Spacetimes -- I: Initial Data
• Trapped surfaces and nature of singularities in Lyra's geometry
• Gravitational Collapse In Vaidya Space-time For Galileon Gravity Theory
• Quantized Brans Dicke Theory: Phase Transition and Strong Coupling (Large $\omega$) Limit & General Relativity
• Short Distance Repulsive Gravity as a Consequence of Non Trivial PPN Parameters $\beta$ and $\gamma$
• Bakry-Émery black holes
• Uniqueness of Self-Similar Asymptotically Friedmann-Robertson-Walker Spacetime in Brans-Dicke theory
• Monopolar and quadrupolar gravitational radiation from magnetically deformed neutron stars in modified gravity
• Scalar-tensor black holes in an expanding universe
• Gravitational Collapse without Singularity Formation in Brans-Dicke Theory
• Scalar field as an intrinsic time measure in coupled dynamical matter-geometry systems. I. Neutral gravitational collapse
• Unscreening scalarons with a black hole
• Spherical vacuum and scalar collapse for the Starobinsky R^2 model
• Analytical external spherical solutions in entangled relativity
• Black branes in four-dimensional conformal equivalent theories
• Deformation of horizons during a merger
• Probing the Brans-Dicke Gravitational Field by Cerenkov Radiation
• A 3+1 Computational Scheme for Dynamic Spherically Symmetric Black Hole Spacetimes -- II: Time Evolution
• Nonlinearly charged dilatonic black holes and their Brans-Dicke counterpart: Energy dependent spacetime
• Spacetime Singularities in Generalized Brans-Dicke Theories
• Compact objects with scalar charge embedded in a magnetic or electric field in Einstein-Maxwell-dilaton theories
• Scalar-tensor gravity from thermodynamic and fluid-gravity perspective
• Cusp singularities in f(R) gravity: pros and cons
• Evolving black hole horizons in General Relativity and alternative gravity
• Boundary terms and Brown-York quasi-local parameters for scalar-tensor theory: a study on both timelike and null hypersurfaces
• "Jordan's Scalar Stars" and Dark Matter
• Rapidly Rotating Neutron Star Collapse in Massive Scalar-Tensor Theories
• Spherically symmetric, static black holes with scalar hair, and naked singularities in nonminimally coupled k-essence
• Dynamics of a nonminimally coupled scalar field in asymptotically $Ad{S}_4$ spacetime
• Cosmological aspects of cubic Galileon massive gravity
• Black hole production at lepton colliders
• The holographic bound in the scalar-tensor and $f(R)$ gravities
• Hydrodynamical Misner-Sharp Formulation for Gravitational Collapse in Scalar-Tensor Theories