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Theoretical PhysicsBlack Holes· 5 min read· in Science

Rapidly Spinning Black Holes Could Spontaneously Split in Two Under New Theoretical Calculations

Physicists have demonstrated that extreme rotation can cause a black hole's event horizon to pinch and divide, challenging long-held assumptions about general relativity. The mathematical proof shows that while merging is common, splitting is theoretically possible under specific spacetime conditions.

By Logan Price

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Gravitational wave observatories have routinely recorded the violent collisions of black holes merging into larger singularities since their first detection in 2015. Yet a new mathematical proof demonstrates the exact reverse process, showing that a single black hole can spontaneously fracture into two distinct objects.[2][5]

The calculations, published in the journal Physical Review D, upend a long-standing assumption in astrophysics. Under standard interpretations of Albert Einstein’s general relativity, the event horizon of a black hole is strictly forbidden from dividing.[1][2]

Researchers from the University of Southern Denmark have now identified the precise geometric conditions required to bypass that restriction. The mechanism relies on extreme rotation, pushing the black hole to the absolute physical limits of angular momentum.[3]

"We have shown that when a black hole spins fast enough, the horizon can deform into a shape resembling a pair of pants," the research team from the University of Southern Denmark wrote in their publication.[1][3]

"This topological pinch eventually forces the horizon to snap, leaving two separate black holes where only one existed," the researchers concluded, detailing the exact mathematical threshold where the division becomes inevitable. The transition fundamentally alters the object's gravitational footprint.[1][3]

The mathematical stages of a black hole horizon fracturing under extreme angular momentum.

The geometry of a fracture

The theoretical framework hinges on what physicists call the extremal limit. As a black hole consumes matter and gains mass, its rotational speed increases, but it cannot spin infinitely fast without violating the fundamental laws of physics.[2][5]

When a black hole approaches this maximum rotational threshold, its gravitational pull interacts differently with the surrounding spacetime. The event horizon stretches outward at the equator, flattening the sphere into a rapidly spinning, highly distorted disk.[2]

In a standard, empty universe, this distortion simply creates a highly oblate shape. However, the new calculations introduce specific cosmological constants, modeling a theoretical universe with different background energy conditions than our own observable cosmos.[1][3]

Within these modified spacetime geometries, the centrifugal forces generated by the extreme spin begin to overpower the inward pull of gravity at the black hole's center. The horizon narrows at the poles while simultaneously expanding outward at its edges.[1]

The mathematical models show that this narrowing eventually reaches a critical juncture. The center of the horizon pinches off entirely, severing the connection and creating two independent event horizons that drift apart within the simulated spacetime.[1][3]

Bypassing Hawking's theorem

For fifty years, theoretical physics has relied heavily on Stephen Hawking’s area theorem, originally formulated in 1971. The theorem states that the total surface area of a black hole’s event horizon can never decrease over time, regardless of its interactions.[2][5]

Splitting a black hole typically violates this fundamental rule, which is why physicists have long considered the process impossible. A fractured black hole would inherently possess less total surface area than the original parent object, breaking the laws of thermodynamics.[2][5]

Illustration: The proof relies on complex higher-dimensional spacetime geometries to bypass traditional topological censorship.

The researchers bypassed this strict restriction by applying the mathematics of higher-dimensional spaces and exotic spacetime structures. In these specific mathematical environments, the area theorem no longer strictly applies, allowing the topology of the horizon to change dynamically.[1][3]

"The topological censorship theorem usually prevents these kinds of horizon transitions in four-dimensional, asymptotically flat spacetime," the researchers explained in their detailed analysis of the phenomenon, referencing the standard model of our universe.[1]

"By altering the asymptotic boundaries of the space, we found exact solutions where the horizon topology transitions from a sphere to a disconnected state," they noted, confirming the mathematical viability of the unprecedented split.[1]

Implications for quantum gravity

While the phenomenon requires conditions that may not exist in our immediate universe, the mathematical proof provides a crucial tool for theoretical physicists. It offers a completely new way to test the boundaries between general relativity and quantum mechanics.[3][4]

The intersection of these two fields remains the largest unsolved problem in modern physics. Black holes serve as the ultimate testing ground, as they are the only known objects where extreme gravity and quantum effects operate simultaneously.[2][4]

Understanding how an event horizon can tear itself apart could help physicists develop a unified theory of quantum gravity. The mathematics required to describe the split involve the exact same principles needed to understand the fundamental microscopic fabric of the universe.[3][4]

As a black hole approaches its maximum possible spin, centrifugal forces begin to overpower gravity at its core.

The research also raises profound questions about the nature of singularities, the infinitely dense points at the center of black holes. If the event horizon splits, the underlying singularity must also divide or fundamentally alter its internal structure.[2][5]

Theoretical physicists will now attempt to apply these findings to more realistic models of our own universe. The next major step is determining whether quantum fluctuations could trigger a similar splitting process in standard four-dimensional spacetime.[3][4]

For now, the discovery remains confined to the realm of rigorous mathematical proof rather than observational astronomy. Yet it conclusively proves that the universe's most extreme objects are far more dynamic, flexible, and unstable than astrophysics previously understood.[2][3]

Hunting for primordial signatures

The implications extend to the study of primordial black holes, which theoretically formed in the chaotic first seconds after the Big Bang. If extreme rotation allowed these ancient objects to split, it could explain the current distribution of dark matter.[4][5]

Future mathematical simulations will require immense computational power to model the exact moment the horizon snaps. Researchers hope to map the precise gravitational wave signatures that such an event would emit, giving observatories a specific pattern to hunt for.[3][4]

Key points

  • New mathematical models demonstrate that rapidly spinning black holes can spontaneously split into two separate entities.
  • The process requires the black hole to reach its extremal limit, where rotational forces overpower the inward pull of gravity.
  • The splitting mechanism bypasses Stephen Hawking's 1971 area theorem by utilizing specific higher-dimensional spacetime geometries.
  • While unlikely to occur in our immediate universe, the proof provides a critical new tool for studying quantum gravity.

What we don’t know

  • Whether quantum fluctuations could trigger a similar splitting process in standard four-dimensional spacetime.
  • How the central singularity behaves or divides when the surrounding event horizon fractures.
  • What specific gravitational wave signature a splitting black hole would produce if it occurred.
Mathematical Relativists 60%Science Communicators 40%
Mathematical Relativists
Focus on the rigorous geometric proofs and the theoretical bypassing of topological censorship.
Science Communicators
Focus on translating the complex physics of fracturing event horizons into accessible concepts.

Perspectives this story doesn't cover

  • Quantum Gravity Theorists
  • Gravitational Wave Astronomers

Sources

Source coverage

5 outlets

2 viewpoints surfaced

Mathematical Relativists 60%Science Communicators 40%
  1. [1]Physical Review DMathematical Relativists

    When black holes admit pair-of-pants topologies

    Read on Physical Review D →
  2. [2]BioScienceScience Communicators

    Physicists Reveal Whether A Black Hole Can Actually Split In Two

    Read on BioScience →
  3. [3]University of Southern DenmarkMathematical Relativists

    Can a black hole split in two?

    Read on University of Southern Denmark →
  4. [4]EurekAlert!Science Communicators

    Can a black hole split in two?

    Read on EurekAlert! →
  5. [5]The Brighter Side of NewsScience Communicators

    Can a black hole split into two in accordance with Einstein's general relativity?

    Read on The Brighter Side of News →
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