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Critical dimension in the black-string phase transition.

Evgeny Sorkin1

  • 1Racah Institute of Physics, Hebrew University, Jerusalem 91904, Israel.

Physical Review Letters
|August 25, 2004
PubMed
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Researchers studied black strings in compact spacetimes. They found the instability mass follows an exponential law and identified a critical dimension (d*=13) where the phase transition order changes.

Area of Science:

  • Theoretical Physics
  • String Theory
  • General Relativity

Background:

  • Black holes and black strings are solutions in spacetimes with compact dimensions.
  • These objects can become unstable based on size and compact dimension length scales.
  • Transitions between black object solutions raise fundamental questions in physics.

Purpose of the Study:

  • To investigate the stability and phase transitions of black strings in d-dimensional cylindrical spacetimes.
  • To construct static, non-uniform black strings near the marginally stable uniform string.
  • To analyze the instability mass and the order of the phase transition with respect to dimensionality.

Main Methods:

  • Numerical computation of the instability mass for black strings across various dimensions.

Related Experiment Videos

  • Analysis of the exponential relationship governing the instability mass.
  • Determination of the critical dimension for the phase transition order.

    • Main Results:

    • The instability mass of black strings follows an exponential law, gamma(d), across a wide range of dimensions.
    • A critical dimension, d(*)=13, was identified.
    • For dimensions d ≤ 13, the phase transition is first-order; for d > 13, it is surprisingly of a higher order.

    Conclusions:

    • The stability and phase transitions of black strings are dimension-dependent.
    • The critical dimension of 13 marks a significant change in the nature of the phase transition.
    • This study provides insights into topology change and uniqueness in black object solutions.