Abstract
Gravity pulls people, apples, birds, and even the Moon down toward the Earth. This force, which arises between any two masses, is responsible for the orbits of the Moon, planets, stars, and galaxies, and also provides the driving force for the Earth’s tides. It can also be understood as a gravitational field that extends throughout space. This field fluctuates wildly in the vicinity of compact binary stars, such as neutron stars or black holes that orbit each other, which then creates waves in the field. These resulting gravitational waves are extraordinarily weak, but were detected directly for the first time in 2015; the detectors in this case moved by much less than the diameter of a single proton. Gravitational waves are similar to electromagnetic waves in that both travel at the speed of light, have two polarizations, carry energy, and carry momentum. However, the fact that masses are always positive, in contrast to the positive and negative types of electric charge, affects their frequencies and types of polarizations. Einstein’s general theory of relativity makes several non-intuitive predictions, including that space and time are linked together in strange ways. For example, it predicts that gravity attracts light and that gravity warps space, both of which were later verified. Furthermore, it shows that gravitational waves are ripples in spacetime itself. Again, this makes little intuitive sense but is consistent with a wide range of experiments.
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Notes
- 1.
Newton did not invent the word “gravity”, which comes from the Latin word gravitas for the quality of heaviness. However, he shifted its meaning and was the first to use it in the context of a force.
- 2.
These are called “gravitational waves” because the term “gravity waves” was already taken; those are normal water waves in which gravity provides the restoring force.
- 3.
See “GW190412: The first observation of an unequal-mass black hole merger” available at https://www.ligo.org/science/Publication-GW190412/
- 4.
The direction of circular polarization is typically defined in astronomy as the rotation direction of the source, when looking in the direction of wave propagation.
- 5.
In more technical terms, electromagnetic waves are typically dipole radiation. A dipole is a pair of objects with opposite sign that are separated by some distance, such as the HCl molecule in Figure 15.5. In contrast, gravitational waves are predominantly quadrupole radiation. A quadrupole has two-fold rotational symmetry, such as the binary star shown in Figure 15.5. Gravitational waves would be dipole radiation if mass could be negative, but it can’t. On the other hand, electromagnetic waves can be quadrupole radiation for symmetric molecules, such as rotating CO\(_2\) molecules.
- 6.
Merritt, D., Milosavljević, M., Favata, M., Hughes, S. A., and Holz, D. E. “Consequences of gravitational radiation recoil” The Astrophysical Journal Letters, 607:L9, 2004.
- 7.
This effect arises from the Lorentz invariance of static fields, which is a part of Einstein theory of special relativity. See Wikipedia “Speed of Gravity”.
- 8.
Many zoos and science museums have a similar contraption, in which the visitor rolls a coin into a curved funnel and watches the coin roll around many times before finally falling into the center.
- 9.
See the excellent YouTube video by Steve Mould titled “Visualising gravitational waves”.
- 10.
Although time is a fourth dimension, its mathematics are still different in some important ways from those of the three spatial dimensions, so time is not equivalent to the spatial dimensions.
- 11.
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Andrews, S.S. (2023). Gravitational Waves. In: Light and Waves. Springer, Cham. https://doi.org/10.1007/978-3-031-24097-3_15
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DOI: https://doi.org/10.1007/978-3-031-24097-3_15
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