Dimensional Dependence of Black Hole Formation in Self-Similar Collapse of Scalar Field

Abstract

We study classical and quantum self-similar collapses of a massless scalar field in higher dimensions, and examine how the increase in the number of dimensions affects gravitational collapse and black hole formation. Higher dimensions seem to favor formation of black hole rather than other final states, in that the initial data space for black hole formation enlarges as dimension increases. On the other hand, the quantum gravity effect on the collapse lessens as dimension increases. We also discuss the gravitational collapse in a brane world with large but compact extra dimensions.

Improved a few arguments and added a figure

References in corpus (36)

• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
• Black Holes at the LHC
• High Energy Colliders as Black Hole Factories: The End of Short Distance Physics
• Black Holes Radiate Mainly on the Brane
• Observation of critical phenomena and self-similarity in the gravitational collapse of radiation fluid
• Critical behaviour in gravitational collapse of radiation fluid --- A renormalization group (linear perturbation) analysis ---
• Understanding critical collapse of a scalar field
• The spherically symmetric collapse of a massless scalar field
• Non-Universality of Critical Behaviour in Spherically Symmetric Gravitational Collapse
• Choptuik scaling in null coordinates
• The Choptuik spacetime as an eigenvalue problem
• Self-Similar Scalar Field Collapse: Naked Singularities and Critical Behaviour
• Exact solution for scalar field collapse
• Convergence to a self-similar solution in general relativistic gravitational collapse
• Critical Behaviour and Universality in Gravitational Collapse of a Charged Scalar Field
• On naked singularities in higher dimensional Vaidya space-times
• Universal Scaling and Echoing in Gravitational Collapse of a Complex Scalar Field
• Collapsing shells of radiation in anti-de Sitter spacetimes and the hoop and cosmic censorship conjectures
• Higher dimensional inhomogeneous dust collapse and cosmic censorship
• Critical phenomena at the threshold of black hole formation for collisionless matter in spherical symmetry
• Continuous Self-Similarity and $S$-Duality
• Charge scaling and universality in critical collapse
• Critical Exponents and Stability at the Black Hole Threshold for a Complex Scalar Field
• The NN scattering 3S1-3D1 mixing angle at NNLO
• Echoing and scaling in Einstein-Yang-Mills critical collapse
• Self-Similar Collapse of Scalar Field in Higher Dimensions
• Choptuik scaling in six dimensions
• Critical phenomena of collapsing massless scalar wave packets
• Self-Similar Collapse of Conformally Coupled Scalar Fields
• Higher Dimensional Self-similar Spherical Symmetric Scalar Field Collapse and Critical Phenomena in Black Hole Formation
• An Analytic Model with Critical Behavior in Black Hole Formation
• Quantum Creation of Black Hole by Tunneling in Scalar Field Collapse
• Gravitational Collapse of Perfect Fluid in N-Dimensional Spherically Symmetric Spacetimes
• Exact solutions for null fluid collapse in higher dimensions

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• Final fate of spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet gravity
• Vacuum solutions of the gravitational field equations in the brane world model
• Classical tests of general relativity in brane world models
• Higher Dimensional Wormhole Geometries with Compact Dimensions
• Chaplygin gas dominated anisotropic brane world cosmological models
• Black hole, string ball, and p-brane production at hadronic supercolliders
• Solar system tests of brane world models
• Planckian scattering effects and black hole production in low $M_{Pl}$ scenarios
• Choptuik Scaling and The Merger Transition
• Spherically symmetric solutions and gravitational collapse in brane-worlds
• Double Copy from Tensor Products of Metric BV${}^{■}$-algebras
• Stability of a $d$-dimensional thin-shell wormhole surrounded by quintessence
• Higher dimensional dust collapse with a cosmological constant
• New modes for massive Dirac field in higher dimensional Black Holes
• New Potential of Black Holes : Quest for TeV-Scale Physics by Measuring Top Quark Sector using Black Holes