concept

scalar charge

A nearly conserved quantity associated with the scalar field in Horndeski gravity.
27 related articles

Description

In Horndeski gravity, the most general scalar-tensor theory with second-order field equations, the scalar charge is a quantity that measures how strongly a body couples to the scalar field. Unlike electric charge, which is exactly conserved, the scalar charge is only approximately conserved — it can change slowly over time or in strong gravitational fields. This near-conservation is crucial because it determines how objects move and radiate in modified gravity theories.

History

The concept emerged from studies of scalar-tensor theories in the 1970s, particularly through the work of Damour and Esposito-Farèse on tensor-multi-scalar theories, and was later extended to Horndeski gravity.

How it works

The scalar charge arises from the coupling between matter and the scalar field in the action. In the weak-field limit, it acts like a 'fifth force' charge, dictating the strength of the scalar-mediated interaction between masses. Because the scalar field can vary in space and time, the charge is not strictly constant; its evolution is governed by the field equations and the body's internal structure.

In practice

It is used to test general relativity with gravitational-wave observations, as the presence of scalar charge would cause binary systems to emit scalar radiation and lose orbital energy faster than predicted.

Fun fact

In some Horndeski models, the scalar charge can be 'screened' in dense environments, making the fifth force invisible in the Solar System but potentially strong in low-density cosmic voids.

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Related articles · 27

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General Relativity2026-08-052 minarXiv:2608.04867express
Matter vs. Spacetime: A Matter of Choice
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General Relativity2026-08-042 minarXiv:2608.03320express
A Magnetic Leash for Particles Near a Black Hole
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General Relativity2026-07-312 minarXiv:2608.00238express
Light Trapped by a Black Hole with Hair
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General Relativity2026-07-301 minarXiv:2607.28209express
Gravitational Waves in a Noisy Room
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General Relativity2026-07-241 minarXiv:2607.22856express
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General Relativity2026-07-092 minarXiv:2607.08619express
Black Holes and the Secret Whisper of New Fields
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General Relativity2026-06-281 minarXiv:2606.29401express
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General Relativity2026-06-202 minarXiv:2606.22060express
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Chameleon Gravity and Solar Neutrinos
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General Relativity2026-06-051 minarXiv:2606.07467express
The Noise That Gave Birth to Galaxies
Quantum noise, like the hiss of an untuned radio, filled the infant Universe. Alan Guth showed that superfast expansion (inflation) caused this ripple to freeze, giving rise to clumps of matter — the seeds of galaxies. A new method extends this picture to any theory of gravity.
General Relativity2026-05-252 minarXiv:2605.26259express
Dark Energy That Changed Its Mind
An inflating balloon starts out slowly, then suddenly expands faster and faster, as if someone is pumping it up from inside. That's roughly how our universe behaves: galaxies are receding with acceleration. The culprit behind this acceleration is called dark energy.
General Relativity2026-05-141 minarXiv:2605.14729express
Inflation and Dark Energy: One Cosmic Spring?
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General Relativity2026-05-141 minarXiv:2605.14977express
Statistical Mech2026-05-062 minarXiv:2605.05288express
When Charge Loses Its Face
On the table sits a glass of water. For each molecule, all directions are equivalent: it doesn't distinguish north from south. That's symmetry. But if you freeze the water, the molecules align into an ice lattice, and symmetry breaks: a preferred direction emerges. The quantum world breaks symmetry more cunningly. The glass freezes, yet each molecule still tumbles randomly.
Quantum Physics2026-05-032 minarXiv:2605.08148express
Echo of the Void: How to Catch the Invisible
A palm hovering over a hot stove feels the heat even when the surrounding air seems cool. Something similar happens to electrons in the Aharonov–Bohm effect: the particle senses an electric voltage even though it enters a region where the field has already been switched off.
General Relativity2026-04-272 minarXiv:2604.24867express
Stellar Tuning: Why Gravity Suddenly Changes Its Character
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General Relativity2026-04-172 minarXiv:2604.16226express
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Cosmology2026-04-151 minarXiv:2604.14327express
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Cosmology2026-04-031 minarXiv:2604.02823express
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Cosmology2026-02-252 minarXiv:2602.21774express
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