Critical Phenomena in Head-on Collisions of Neutron Stars

Abstract

We found type I critical collapses of compact objects modeled by a polytropic equation of state (EOS) with polytropic index $\Gamma =2$ without the ultra-relativistic assumption. The object is formed in head-on collisions of neutron stars. Further we showed that the critical collapse can occur due to a change of the EOS, without fine tuning of initial data. This opens the possibility that a neutron star like compact object, not just those formed in a collision, may undergo a critical collapse in processes which slowly change the EOS, such as cooling.

4 pages,6 figures, 15 references

References in corpus (10)

• Three-dimensional general relativistic hydrodynamics II: long-term dynamics of single relativistic stars
• Critical phenomena in gravitational collapse (Physics Reports)
• Symmetry without Symmetry: Numerical Simulation of Axisymmetric Systems using Cartesian Grids
• Three Dimensional Numerical General Relativistic Hydrodynamics I: Formulations, Methods, and Code Tests
• Critical Collapse of the Massless Scalar Field in Axisymmetry
• Critical phenomena in perfect fluids
• Towards a Realistic Neutron Star Binary Inspiral: Initial Data and Multiple Orbit Evolution in Full General Relativity
• Head-On Collision of Neutron Stars As A Thought Experiment
• The Shapiro Conjecture: Prompt or Delayed Collapse in the head-on collision of neutron stars?
• Head-on/Near Head-on Collisions of Neutron Stars With a Realistic EOS

Cited by in corpus (18)

• Dynamical Boson Stars
• The Cooling of Compact Stars
• Solar activity forecast with a dynamo model
• Simulating binary neutron stars: dynamics and gravitational waves
• Eccentric binary neutron star mergers
• Initial data for black hole-neutron star binaries: a flexible, high-accuracy spectral method
• Universality, maximum radiation and absorption in high-energy collisions of black holes with spin
• Black-hole production from ultrarelativistic collisions
• Critical Phenomena in Neutron Stars II: Head-on Collisions
• Evolutions of Magnetized and Rotating Neutron Stars
• Critical Phenomena in Neutron Stars I: Linearly Unstable Nonrotating Models
• North South Asymmetry of Different Solar Activity Features During Solar Cycle 23
• Critical collapse in the spherically-symmetric Einstein-Vlasov model
• Driven neutron star collapse: Type~I critical phenomena and the initial black hole mass distribution
• Dynamics of gravitational collapse in the axisymmetric Einstein-Vlasov system
• Transitional solar dynamics, cosmic rays and global warming
• Universality and properties of neutron star type I critical collapses
• Three little pieces for computer and relativity