Black hole age estimation
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Black Hole Age Estimation: Models and Observational Evidence
Supermassive Black Hole Age Estimation in Galaxies
Recent modeling of galaxy formation using the Lemaître–Tolman solution has shown that supermassive black holes, such as the one in the center of the M87 galaxy, can be as old as 12.7 billion years. This model refines previous approaches by considering the interior geometry of black holes and adapting to various galaxy density profiles. The estimated age depends on cosmological parameters, but for M87, the black hole could have formed shortly after the last scattering, making it nearly as old as the universe itself .
Correlation Between Black Hole Mass and Galaxy Age
There is strong evidence for a correlation between the mass fraction of a galaxy's central black hole and the age of its stellar population. This relationship suggests that the age of a black hole is closely linked to the time since the galaxy's last major star formation event. This supports hierarchical galaxy formation theories, where black hole growth is tied to galaxy mergers and starbursts, rather than models where black holes are primordial and unrelated to their host galaxies' evolution .
Age Estimation of Stellar-Mass Black Holes in Star Clusters
Theoretical models and observations of globular clusters, such as M22, indicate that stellar-mass black holes can be retained for up to 12 billion years. Simulations show that a significant number of black holes can survive dynamical interactions within clusters over cosmic timescales, supporting the idea that some black holes in these environments are nearly as old as the clusters themselves .
Primordial Black Holes and the Age of the Universe
Primordial black holes (PBHs) are hypothesized to have formed in the early universe. The "Page time"—the point when a black hole has emitted half its entropy via Hawking radiation—can be used to estimate the age of PBHs. For a Schwarzschild PBH with an initial mass of about 6.23 × 10^14 grams, the Page time matches the current age of the universe, suggesting that such black holes could still exist today and be as old as the universe itself . Observational constraints from the cosmic microwave background and gamma-ray background further support that PBHs with lifetimes longer than the universe's age could still be present, but their abundance is limited by these measurements 48.
Black Hole Remnants and Population Age
If black holes leave behind stable remnants after evaporation, the properties of the diffuse radiation they emit can be used to estimate the mass of the original black holes and the age of the remnant population. Knowing the age of these remnants is crucial for understanding their contribution to cosmic backgrounds and their role in the universe's evolution .
Conclusion
Black hole age estimation relies on a combination of theoretical models and observational data. Supermassive black holes in galaxies can be nearly as old as the universe, with their ages closely linked to galaxy formation and starburst events. Stellar-mass black holes in globular clusters can also survive for billions of years. Primordial black holes, if they exist, could have lifetimes matching the universe's age, and their remnants may provide further clues about the early universe. Overall, black hole ages span from the earliest epochs of cosmic history to the present, depending on their formation and environment 1234+3 MORE.
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