Black strings and branes in string theory are shown to be unstable under small perturbations. This instability occurs for a range of time frequencies and wavelengths in the extra dimensions. However, if the extra dimensions are compactified to a scale smaller than the minimum wavelength for instability, the perturbations can be stabilized, and large astrophysical black holes in four dimensions are unaffected. The result has implications for the Cosmic Censorship Hypothesis, which suggests that singularities should be hidden behind event horizons.
Black holes in four dimensions are stable, settling into a state described by mass, charge, and angular momentum. However, quantum mechanically, black holes behave like thermal systems, with entropy-like behavior and a possible temperature. Hawking's conjecture about black hole evaporation and unitarity remains unresolved, as general relativity is expected to break down at Planckian curvatures.
Recent interest in black hole stability has been driven by string theory. In Einstein gravity, charged black holes have an inner Cauchy horizon that is unstable. In low-energy string theory, gravity acquires a dilaton, changing the causal structure of charged black holes, making them similar to Schwarzschild black holes with one event horizon and a spacelike singularity.
In higher dimensions, black holes can have different horizon topologies. The stability of five-dimensional black strings has been studied, showing that while no single unstable mode exists, composite modes may be present. This is similar to the instability of colored black holes. The analysis of black strings and branes shows that they are classically unstable, with perturbations that cannot be written as pure gauge. This instability could lead to fragmentation of the horizon, potentially revealing naked singularities and violating the Cosmic Censorship Hypothesis.
The instability is shown to be robust, with numerical results indicating the existence of unstable solutions for a range of parameters. Compactifying the extra dimensions on a scale smaller than the inverse mass of the black hole can stabilize the system, making such black holes safe. The result highlights the unexpected subtleties of black holes and shows that event horizons can be ephemeral. The findings emphasize the limitations of four-dimensional Einstein gravity and the importance of considering higher-dimensional black holes in string theory.Black strings and branes in string theory are shown to be unstable under small perturbations. This instability occurs for a range of time frequencies and wavelengths in the extra dimensions. However, if the extra dimensions are compactified to a scale smaller than the minimum wavelength for instability, the perturbations can be stabilized, and large astrophysical black holes in four dimensions are unaffected. The result has implications for the Cosmic Censorship Hypothesis, which suggests that singularities should be hidden behind event horizons.
Black holes in four dimensions are stable, settling into a state described by mass, charge, and angular momentum. However, quantum mechanically, black holes behave like thermal systems, with entropy-like behavior and a possible temperature. Hawking's conjecture about black hole evaporation and unitarity remains unresolved, as general relativity is expected to break down at Planckian curvatures.
Recent interest in black hole stability has been driven by string theory. In Einstein gravity, charged black holes have an inner Cauchy horizon that is unstable. In low-energy string theory, gravity acquires a dilaton, changing the causal structure of charged black holes, making them similar to Schwarzschild black holes with one event horizon and a spacelike singularity.
In higher dimensions, black holes can have different horizon topologies. The stability of five-dimensional black strings has been studied, showing that while no single unstable mode exists, composite modes may be present. This is similar to the instability of colored black holes. The analysis of black strings and branes shows that they are classically unstable, with perturbations that cannot be written as pure gauge. This instability could lead to fragmentation of the horizon, potentially revealing naked singularities and violating the Cosmic Censorship Hypothesis.
The instability is shown to be robust, with numerical results indicating the existence of unstable solutions for a range of parameters. Compactifying the extra dimensions on a scale smaller than the inverse mass of the black hole can stabilize the system, making such black holes safe. The result highlights the unexpected subtleties of black holes and shows that event horizons can be ephemeral. The findings emphasize the limitations of four-dimensional Einstein gravity and the importance of considering higher-dimensional black holes in string theory.