Silent Black Holes: Why Geometry Without Einstein Mutes Radiation ✎ express

Original: "Hawking Radiation and Greybody Factors of Test Scalar and Electromagnetic Fields on Asymptotically Flat Pure Lovelock Black Holes"
· Jayden Tan
arXiv:2605.09756 · 2026-05-10 · arXiv non-exclusive · independent analysis · 2 min
Black holes in higher-curvature theories emit thousands of times fewer particles than their Einsteinian counterparts of the same size.

If you shrank an ordinary black hole to the size of a grain of sand, it would shine like a tiny star and quickly vanish in a flash. That's Stephen Hawking's prediction: the event horizon acts like a hot surface emitting particles. The smaller the hole, the higher its temperature, and vice versa — giant black holes at the centers of galaxies are colder than the cosmic microwave background.

But what if gravity is more intricate than Einstein's theory suggests? In some models, the usual geometry is augmented with terms involving higher powers of curvature, as if you added extra layers with different elasticity to a simple rubber sheet. Such black holes are called Lovelock black holes, and they have a branch where the geometry looks particularly clean. The authors of the study measured how much radiation escapes from such objects and found something astonishing: a Lovelock hole of the same size as an ordinary one turns out to be far more 'silent.'

In six-dimensional space, the power of scalar radiation dropped by a factor of a thousand, and electromagnetic radiation by a factor of a hundred thousand, even though the horizon became more transparent.

The secret lies in temperature. The horizon of a Lovelock hole is colder: thermal motion near the surface freezes, making it harder for particles to escape. The increased transparency doesn't help — the energy flux is set by temperature alone. Moreover, as the order of the theory (the number N) increases, the radiation almost entirely shifts to the scalar channel — the one associated with the simplest spinless particles. The electromagnetic component fades, and the hole 'speaks' only one language.

Such a sharp drop in power is not just a numerical curiosity. If such objects exist in nature, their evaporation could be so weak that we might never detect a flash from a dying microscopic black hole. On the other hand, the very dependence of the spectrum on the order N provides a clean observational signature — if we ever manage to catch a signal from quantum evaporation, the shape of the spectrum will immediately tell us which theory of gravity we are dealing with.

The temperature of a stellar-mass black hole is about one hundred-millionth of a degree above absolute zero, so its thermal radiation is completely lost in the noise of the cosmic microwave background.

In Dan Simmons' novel 'Hyperion,' black holes are used as an energy source, but if they were Lovelock black holes, such a power plant would produce thousands of times less power.

Scientists
John Archibald WheelerJacob BekensteinStephen HawkingFritz ZwickyKarl SchwarzschildSubrahmanyan Chandrasekhar
Concepts
Hawking radiation hawking radiation mechanism scalar particle schwarzschild black hole microscopic black hole soft x ray schwarzschild radius surface gravity Stefan–Boltzmann law information loss horizon area ultralight dark matter no-hair theorem hard x ray Planck's law scalar perturbations h alpha classical electron radius logarithmic correction hawking radiation anomalies