Weight of black hole
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Understanding the Weight of Black Holes
Lower Bound on Black Hole Mass
Minimum Mass of Classical Black Holes
Research has established a theoretical lower bound on the mass of classical black holes. This limit is derived from the interaction of gravity with a massive field, where the Compton wavelength of the field is significantly larger than the Planck length. When perturbations in the Compton wavelength become significant, the low energy effective action for gravity can no longer be trusted. This breakdown translates into a minimum mass requirement for black holes. Specifically, in a four-dimensional space (D=4), using the mass of an electron, the minimum mass of a black hole is calculated to be greater than (10^{14}) kg .
Primordial Black Holes and Dark Matter
Mass Range of Primordial Black Holes
Primordial black holes (PBHs) are another category of black holes that have been studied extensively, particularly in the context of dark matter. Recent microlensing constraints have provided new insights into the mass range of PBHs. Observations suggest that for PBHs to account for all dark matter, their mass function should peak around (10^{20}) grams (approximately (10^{17}) kg) with a narrow width of (\sigma \approx 0.1) . This mass range is significantly different from the lower bound established for classical black holes, indicating a diverse spectrum of black hole masses in the universe.
Conclusion
In summary, the weight of black holes varies significantly depending on their type and formation mechanism. Classical black holes have a theoretical minimum mass of (10^{14}) kg, while primordial black holes, which could potentially account for all dark matter, have a mass range peaking around (10^{17}) kg. These findings highlight the complex and varied nature of black holes in our universe.
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