Brane-world stars with solid crust and vacuum exterior

Abstract

The minimal geometric deformation approach is employed to show the existence of brane-world stellar distributions with vacuum Schwarzschild exterior, thus without energy leaking from the exterior of the brane-world star into the extra dimension. The interior satisfies all elementary criteria of physical acceptability for a stellar solution, namely, it is regular at the origin, the pressure and density are positive and decrease monotonically with increasing radius, finally all energy conditions are fulfilled. A very thin solid crust with negative radial pressure separates the interior from the exterior, having a thickness $\Delta$ inversely proportional to both the brane tension $\sigma$ and the radius $R$ of the star, i.e. ${\Delta }^{-1}\sim R\sigma$. This brane-world star with Schwarzschild exterior would appear only thermally radiating to a distant observer and be fully compatible with the stringent constraints imposed on stellar parameters by observations of gravitational lensing, orbital evolutions or properties of accretion disks.

arXiv comment20 pages, 6 figures. Improved version. To be published in Classical and Quantum Gravity

References in corpus (76)

• An Alternative to Compactification
• The Einstein Equations on the 3-Brane World
• Brane cosmological evolution in a bulk with cosmological constant
• Brane-World Gravity
• Physical Acceptability of Isolated, Static, Spherically Symmetric, Perfect Fluid Solutions of Einstein's Equations
• Black holes on the brane
• Chaotic inflation on the brane
• Sub-millimeter Tests of the Gravitational Inverse-square Law
• All static spherically symmetric anisotropic solutions of Einstein's equations
• New Experimental Limits on Macroscopic Forces Below 100 Microns
• General brane cosmologies and their global spacetime structure
• All static spherically symmetric perfect fluid solutions of Einstein's Equations
• Stars in the braneworld
• Searching Exact Solutions for Compact Stars in Braneworld: a conjecture
• New black holes in the brane-world?
• Tolman IV solution in the Randall-Sundrum Braneworld
• Quantum Black Holes as Holograms in AdS Braneworlds
• Charged Rotating Black Holes on a 3-Brane
• Classical black hole evaporation in Randall-Sundrum infinite braneworld
• General Relativistic Energy Conditions: The Hubble expansion in the epoch of galaxy formation
• Brane versus shell cosmologies in Einstein and Einstein-Gauss-Bonnet theories
• Can the galactic rotation curves be explained in brane world models?
• Gravitational collapse on the brane: a no-go theorem
• Application of the Campbell-Magaard theorem to higher-dimensional physics
• The role of exterior Weyl fluids on compact stellar structures in Randall-Sundrum gravity
• Cosmology in the Randall-Sundrum Brane World Scenario
• Brane-world stars and (microscopic) black holes
• Gravity and large black holes in Randall-Sundrum II braneworlds
• Thin accretion disks onto brane world black holes
• Bulk shape of brane-world black holes
• The virial theorem and the dynamics of clusters of galaxies in the brane world models
• Braneworld stars and black holes
• Brane-world generalizations of the Einstein static universe
• Collapsing sphere on the brane radiates
• Brane-world cosmology with black strings
• Generalized Friedmann branes
• Gravitational collapse of null fluid on the brane
• Galactic metric, dark radiation, dark pressure and gravitational lensing in brane world models
• Non-uniform Braneworld Stars: an Exact Solution
• Cosmic acceleration from asymmetric branes
• Friedmann branes with variable tension
• Galactic dark matter as a bulk effect on the brane
• Large Randall-Sundrum II Black Holes
• The Schwarzschild's Braneworld Solution
• Brane World Cosmology Without the Z_2 Symmetry
• Null fluid collapse in brane world models
• Einstein equations for an asymmetric brane-world
• Gravitational collapse and black hole evolution: do holographic black holes eventually "anti-evaporate"?
• Reflection symmetry breaking scenarios with minimal gauge form coupling in brane world cosmology
• Black string corrections in variable tension braneworld scenarios
• Analytic solution for a static black hole in RSII model
• Inflation and Braneworlds: Degeneracies and Consistencies
• Colliding Bubble Worlds
• Braneworld Stars: Anisotropy Minimally Projected Onto the Brane
• Big Bang Nucleosynthesis Constraints on Brane Cosmologies
• Thermal Equilibration of Brane-Worlds
• Galactic rotation curves in brane world models
• Structure formation on the brane: A mimicry
• Eötvös branes
• Gravitational dynamics in s+1+1 dimensions II. Hamiltonian theory
• On the embedding of branes in five-dimensional spaces
• Gravitational dynamics in s+1+1 dimensions
• The luminosity-redshift relation in brane-worlds: I. Analytical results
• Covariant gravitational dynamics in 3+1+1 dimensions
• On the Localisation of 4-Dimensional Brane-World Black Holes
• The luminosity-redshift relation in brane-worlds: II. Confrontation with experimental data
• Regular Bulk Solutions and Black Strings from Dynamical Braneworlds with Variable Tension
• Black hole tidal charge constrained by strong gravitational lensing
• Exploring the bulk of tidal charged micro-black holes
• Black holes in realistic branes: black string-like objects?
• Beyond the Low Energy Approximation in Braneworld Cosmology
• Image formation in weak gravitational lensing by tidal charged black holes
• Classic tests of General Relativity described by brane-based spherically symmetric solutions
• Brane cosmology, Weyl fluid, and density perturbations
• A homogeneous brane-world universe
• Living on a dS brane: Effects of KK modes on inflation

Cited by in corpus (80)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Decoupling gravitational sources in general relativity: from perfect to anisotropic fluids
• Anisotropic solutions by gravitational decoupling
• Decoupling gravitational sources in general relativity: the extended case
• Gravitational decoupled anisotropies in compact stars
• Black holes by gravitational decoupling
• The Minimal Geometric Deformation Approach Extended
• Hairy black holes by gravitational decoupling
• Isotropization and change of complexity by gravitational decoupling
• A new family of analytical anisotropic solutions by gravitational decoupling
• Gravitational decoupling for axially symmetric systems and rotating black holes
• Anisotropic Tolman VII solution by gravitational decoupling
• Minimal Geometric Deformation in a cloud of strings
• A causal Schwarzschild-de Sitter interior solution by gravitational decoupling
• Stability of the graviton Bose-Einstein condensate in the brane-world
• Minimal geometric deformation decoupling in $2+1$ dimensional space-times
• Classical Tests of General Relativity: Brane-World Sun from Minimal Geometric Deformation
• Anisotropic ultracompact Schwarzschild star by gravitational decoupling
• A general interior anisotropic solution for a BTZ vacuum in the context of the Minimal Geometric Deformation decoupling approach
• Compact Anisotropic Models in General Relativity by Gravitational Decoupling
• Gravitationally decoupled strange star model beyond standard maximum mass limit in Einstein-Gauss-Bonnet gravity
• Charged anisotropic compact objects by gravitational decoupling
• Einstein-Klein-Gordon by gravitational decoupling
• Minimal Geometric Deformation: the inverse problem
• Dark SU(N) glueball stars on fluid branes
• Strong Deflection Limit Lensing Effects in the Minimal Geometric Deformation and Casadio-Fabbri-Mazzacurati Solutions
• Decoupling gravitational sources by MGD approach in Rastall gravity
• Extended gravitational decoupling in $2+1$ dimensional space--times
• Black hole acoustics in the minimal geometric deformation of a de Laval nozzle
• Minimal Geometric Deformation in asymptotically (A-)dS space-times and the isotropic sector for a polytropic black hole
• Stellar models with like--Tolman IV complexity factor
• GUP Hawking fermions from MGD black holes
• The extended minimal geometric deformation of SU($N$) dark glueball condensates
• Extending the geometric deformation: New black hole solutions
• Ultracompact stars with polynomial complexity by gravitational decoupling
• Extended quantum portrait of MGD black holes and information entropy
• A simple method to generate exact physically acceptable anisotropic solutions in general relativity
• New algorithms to obtain analytical solutions of Einstein's equations in isotropic coordinates
• MGD Dirac stars
• The minimal of geometric deformation of Yang-Mills-Dirac stellar configurations
• Gravitational decoupling in $2+1$ dimensional space--times with cosmological term
• Anisotropic 2+1 dimensional black holes by gravitational decoupling
• Quasinormal frequencies of black hole in the braneworld
• Gregory-Laflamme analysis of MGD black strings
• Compact stars in the braneworld: a new branch of stellar configurations with arbitrarily large mass
• The Minimal Geometric Deformation Approach: a brief introduction
• Braneworld gravastars admitting conformal motion
• Probing hairy black holes caused by gravitational decoupling using quasinormal modes and greybody bounds
• Constraining extra-spatial dimensions with observations of GW170817
• Regularity condition on the anisotropy induced by gravitational decoupling in the framework of MGD
• Holographic entanglement entropy under the minimal geometric deformation and extensions
• Probing the minimal geometric deformation with trace and Weyl anomalies
• MGD-decoupled black holes, anisotropic fluids and holographic entanglement entropy
• Echoes of the gravitational decoupling: scalar perturbations and quasinormal modes of hairy black holes
• Durgapal IV model in light of the minimal geometric deformation approach
• Extra packing of mass of anisotropic interiors induced by MGD
• Gravitational decoupling, hairy black holes and conformal anomalies
• Braneworld Gravity under gravitational decoupling
• Role of Complexity on the Minimal Deformation of Black Holes
• Gravitational decoupling and superfluid stars
• Traversable Wormholes in Minimally Geometrical Deformed Trace-Free Gravity using Gravitational Decoupling
• Anisotropic Durgapal-Fuloria Neutron Stars in $f(\mathcal{R},{\mathrm{T}}^2)$ Gravity
• Imprints of dark matter on the structural properties of minimally deformed compact stars
• Packing extra mass in compact stellar structures: An interplay between Kalb-Ramond field and extra dimensions
• Complexity factor of spherically anisotropic polytropes from gravitational decoupling
• New Black-String Solutions for an Anti-de Sitter Brane in Scalar-Tensor Gravity
• Anti-Gravitating Brane-World Solutions for a de Sitter Brane in Scalar-Tensor Gravity
• Stellar models in Brane Worlds
• Axion stars in MGD background
• Silhouette and spectral line profiles in the special modification of the Kerr black hole geometry generated by quintessential fields
• Incorporating Physical Constraints in Braneworld Black-String Solutions for a Minkowski Brane in Scalar-Tensor Gravity
• Study of light deflection and shadow from a hairy black hole under the influence of the non-magnetic plasma
• Optical properties of a Brane-World black hole as photons couple to the Weyl tensor
• On the Localisation of 4-Dimensional Brane-World Black Holes II: the general case
• When gravitational decoupling and quantum gravity (re)unite
• Radial Oscillations of the HESS J1731-347 Compact Object via the Karmarkar Condition in Gravity
• Searching for modified gravity: a conformal sector?
• Non-singular T-K axion stars with/without the dynamical bosonic field in the presence of negative $\Lambda$ term
• Stellar modeling via the Tolman IV solution: The cases of the massive pulsar J0740+6620 and the HESS J1731-347 compact object
• Hair imprints of the gravitational decoupling and hairy black hole spectroscopy