substance

scalar dark matter

A type of dark matter composed of scalar particles that interact weakly with gravity and other forces.
11 related articles · 4 formulas

Description

Scalar dark matter is a class of dark matter candidates consisting of spin-zero particles that interact primarily through gravity and possibly weak additional forces. Unlike WIMPs (weakly interacting massive particles), scalar dark matter can be extremely light—with masses down to 10^-22 eV—forming a coherent wave-like state known as a Bose-Einstein condensate. This ultralight form, often called fuzzy dark matter, suppresses small-scale structure formation and could resolve discrepancies between cold dark matter simulations and observations of dwarf galaxies.

History

The idea of scalar fields as dark matter emerged in the 1990s, with the axion—a pseudoscalar particle—being the most studied example. The ultralight scalar dark matter scenario was popularized in the 2000s by Wayne Hu, Rennan Barkana, and Andrei Gruzinov.

How it works

Scalar particles obey the Klein-Gordon equation, and when their de Broglie wavelength is comparable to galactic scales, they behave as a quantum fluid rather than discrete particles. This fluid exerts a quantum pressure that prevents collapse below a certain scale, smoothing out density cusps in galaxy centers. The particles can also form solitonic cores—stable, oscillating lumps of dark matter—that mimic the observed flat rotation curves of dwarf galaxies.

In practice

Pulsar timing arrays and atomic interferometers are being used to search for the oscillating gravitational signatures of ultralight scalar dark matter, while black hole superradiance can extract energy from rotating black holes to create scalar clouds.

Fun fact

Scalar dark matter can form 'black hole bombs'—if a rotating black hole is surrounded by a scalar cloud, the cloud can extract rotational energy and grow exponentially, potentially producing gravitational waves detectable by LIGO.

Concept graph →

Formulas

$$\lambda_{\mathrm{FS}} \propto m_{\mathrm{hm}}^{-1/3}$$
Length scale for particle free streaming in dark matter.
What is in the formula
lambda_FSvariablefree streaming length — free streaming length metre
m_hmvariablehalf-mode mass of dark matter — half mode mass kilogram
proptooperatoris proportional to — proportionality
λ_{{fs}}=5.2(\frac{m_{{hm}}}{10^7m_\odot})^{1/3}{кпк} · 2606.05277v1
$$S = \int d^4x \sqrt{-g} \left[ f(\phi,R) - \frac{1}{2}(\partial\phi)^2 \right]$$
General action for scalar-tensor gravity with non-minimal coupling.
What is in the formula
SvariableAction of the theory — action joule second
gvariableDeterminant of the spacetime metric tensor — metric determinant
φvariableScalar field non-minimally coupled to gravity — scalar field
RvariableRicci scalar curvature — ricci scalar per metre squared
∂φvariableGradient of the scalar field — field gradient per metre
∫ d⁴xoperatorIntegration over four-dimensional spacetime — four dimensional integral
√(-g)operatorVolume element factor for curved spacetime — sqrt negative metric determinant
(∂φ)²operatorKinetic term of the scalar field, contraction of its gradient with itself — kinetic term
s=\intd^4x\sqrt{-g}[j(r/φ^2)φ^4-\frac{1}{2}(\partialφ)^2] · 2606.31472
$$r = \frac{P_t}{P_s}$$
Ratio of tensor perturbation power to scalar perturbation power.
What is in the formula
rvariabletensor-to-scalar ratio — dimensionless ratio
P_tvariablepower spectrum of tensor perturbations — power spectrum
P_svariablepower spectrum of scalar perturbations — power spectrum
r\approx1.6*10^{-3}(\frac{h_e}{10^{13}{gev}})^2 · 2605.05304v1
$$h = \frac{kT}{mg}$$
Height where particle density decreases by factor e in gravitational field.
What is in the formula
hvariablescale height — length metre
Tvariabletemperature — temperature kelvin
mvariablemass of particle — mass kilogram
gvariablegravitational acceleration — gravitational acceleration metre per second squared
kconstantrelates energy to temperature — boltzmann constant = 1.380649e-23 joule per kelvin
h_{{boltz}}=\frac{t}{m_xg} · 2607.09845

Related articles · 11

Cosmology2026-07-272 minarXiv:2607.24912express
Dark Matter as Ripples on a Cosmic Pond
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Hearing the Silence: The Hunt for Scalar Dark Matter
The universe sounds with silence. The lion's share of matter — about 85%—remains invisible, manifesting only through gravity. Back when Vera Rubin Vera Rubin showed that galaxies spin as if wrapped in unseen mass.
HEP Phenomenology2026-06-222 minarXiv:2606.23178express
Dark Matter in Extra Dimensions
A large underground tank of liquid xenon waits for a rare event — a nudge from a dark matter particle. Normally, gravity is too weak to notice such a nudge. But if space has hidden dimensions, everything changes: at tiny distances, gravity suddenly strengthens, and the chance of catching an elusive particle grows.
Gravitational Phantoms: Domain Walls Instead of Black Holes
On May 14, 2019, LIGO detectors registered a gravitational burst that didn't fit the usual mold. Event GW190521 appeared as a collision of two black holes weighing 85 and 66 solar masses. The resulting hole of 142 solar masses landed right in the "forbidden" range — where stellar collapses leave almost no trace.
HEP Phenomenology2026-05-272 minarXiv:2605.28248express
Dark matter tugs at satellites like invisible strings
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HEP Phenomenology2026-05-152 minarXiv:2605.16465express
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A pot of boiling water bubbles and churns, mixing everything inside. Take it off the heat, and the motion subsides as the water slowly cools. The Universe is like that: right after the Big Bang, it was a searing 'soup' of particles that constantly collided and transformed into one another. But as space expanded, the cosmos cooled, and particles met each other less and less often.
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Pulsars as Dark Matter Detectors: First Limits on Ultralight Particles
The universe is permeated by an invisible substance, dark matter, whose gravitational influence is obvious, but whose composition remains a mystery. One hypothesis suggests it consists of ultralight particles so light that they exhibit wave-like behavior, forming a kind of cosmic ripple.
General Relativity2026-03-091 minarXiv:2603.08795express
Dark matter stars mimic black holes
A star made of dark matter is an invisible ocean of ultra-light particles, whose existence was first suspected by Fritz Zwicky back in the 1930s. Into this ocean plunges a neutron star — a tiny, yet unimaginably dense sphere.
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Dark matter is the invisible substance that holds galaxies together, yet it has so far escaped direct detection. The BULLKID-DM detector is designed to catch candidate particles with a mass around 1 GeV (roughly that of a proton) and an extremely weak interaction with ordinary matter — a…