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The Complex Nature of Galaxy Rotation Curves

Examining variations in galaxy rotation curves and the role of dark matter.

― 7 min read


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Galaxies are massive systems made up of stars, gas, dust, and dark matter. Understanding how they spin and behave is important for astronomy. One of the intriguing aspects of galaxies is their Rotation Curves, which show how fast stars and gas move at different distances from the center. These curves can tell us a lot about the mass and distribution of matter in galaxies, particularly the dark matter that we cannot see.

Dark matter is a mysterious substance that makes up a significant part of the universe. It does not emit light, making it hard to detect directly. However, its presence is inferred from its gravitational effects on visible matter. In spiral galaxies, the rotation curves are often flat, which suggests that dark matter is spread out in a spherical region around the galaxy.

Recently, scientists have noticed that there is a lot more variation in the rotation curves of different galaxies than previously thought. Some galaxies have very steep rotation curves, indicating a high concentration of matter, while others have more gradual slopes. This diversity raises questions regarding how galaxies form and how dark matter behaves.

The Challenge of Understanding Galaxy Rotation Curves

One of the main challenges in studying galaxy rotation curves is understanding why they differ so much. Traditional models assume that dark matter is a simple, smooth substance that interacts weakly with itself. However, observations show that there are significant variations in how galaxies rotate. Some theories suggest that these differences might be influenced by various factors, including how galaxies are formed and how they evolve over time.

For a long time, the standard model, known as cold dark matter (CDM), was able to explain a lot of what we observe. In this model, dark matter does not collide with itself and acts alone through gravity. However, more recent observations suggest that this model might not fully account for the diversity seen in galaxy rotation curves.

To address this, researchers are looking at Self-interacting Dark Matter (SIDM), which allows for interactions between dark matter particles. This could lead to a wider variety of Density Profiles in galaxies, potentially explaining the differences in rotation curves.

The Concept of Self-Interacting Dark Matter (SIDM)

Self-interacting dark matter proposes that dark matter particles can collide with each other, which would change the way they are distributed within a galaxy. This interaction can cause dark matter to "thermalize," creating different density profiles depending on the properties of the interactions.

If dark matter has strong self-interactions, we can expect to see a variety of behavior in galaxies. The idea is that the density of dark matter can fluctuate based on how galaxies formed and evolved. For instance, in densley concentrated regions, dark matter could collapse and form higher density cores, while in less concentrated regions, the dark matter would be more spread out.

The Diversity of Galactic Rotation Curves

When scientists analyze the rotation curves of different galaxies, they find a wide variety of shapes. Some galaxies have steep rises in their rotation curves at small distances from the center, followed by a plateau. Others have more gradual rises or even a slow decline. Some galaxies, particularly those with low surface brightness, exhibit extreme variations in their inner halo density.

This diversity poses significant challenges for existing models. The conventional CDM model does not easily account for these different behaviors since it treats dark matter as a uniform substance. As a result, researchers are turning to SIDM to explain these differences.

In SIDM models, the presence of strong self-interactions among dark matter particles would allow for a more complex range of density profiles. High concentration halos, which exhibit steep rises in rotation curves, may indicate that dark matter is undergoing the gravothermal collapse phase. This is where higher density regions collapse under gravitational pull, leading to a dense core. In contrast, lower concentration halos may remain in a phase with low density, which would help explain the flatter rotation curves.

The Role of Gravity in Galaxy Formation

Gravity plays a central role in how galaxies form and evolve. Matter clumps together under its own gravitational pull, leading to the formation of structures like stars and galaxies. In the context of SIDM, gravity also influences how dark matter interacts and clusters together.

As dark matter and baryonic matter (like stars and gas) come together, their interactions can lead to different outcomes. In some cases, dark matter may form a dense central core, while in others, it may remain more spread out. This variation is thought to be tied to the initial conditions of galaxy formation, including the amounts of matter present and the dynamics of their environments.

Studying Low Surface Brightness Galaxies

One of the best ways to study the behaviors of dark matter is to look at low surface brightness galaxies. These galaxies are dimmer in comparison to their brighter counterparts, making them less affected by the light from stars. As a result, they provide clearer insights into dark matter's influence.

Observations of low surface brightness galaxies have revealed a wide range of behaviors in their rotation curves. Some show high central densities in their dark matter halos, while others maintain low densities. This disparity highlights the need to consider more complex dark matter interactions, like those proposed in SIDM.

Fitting Rotation Curves

To understand how different galaxies behave, scientists fit models to the observed rotation curves. This involves adjusting parameters in a model to see how well it matches the observed data. With SIDM, researchers can fit models that account for the effects of self-interaction.

By applying SIDM models to a selection of galaxies, researchers have found that the wide range of observed behaviors can be explained more effectively. High concentration halos display steep rotation curves that align with SIDM characteristics, while lower concentration halos exhibit more gradual behaviors.

The Importance of Dark Matter Densities

The density of dark matter plays a critical role in shaping the rotation curves of galaxies. In areas where dark matter is dense, the gravitational effects will be stronger, leading to higher velocities of stars and gas. Conversely, in regions with lower density, the gravitational pull weakens, resulting in lower velocities.

This relationship helps explain why some galaxies appear to be outliers in the rotation curve studies. Depending on their history and evolution, some galaxies may exhibit high densities while others remain low, providing a spectrum of behaviors.

Implications for Cosmology

The findings from studying SIDM and galaxy rotation curves have important implications for our understanding of the universe. By examining how dark matter density relates to galaxy formation and evolution, scientists can gain insights into the larger processes governing cosmic structure.

In particular, the diverse rotation curves observed in galaxies may point to the need for revised models of cosmology that account for complex dark matter behaviors. SIDM could provide a more nuanced framework for understanding galaxy dynamics and the distribution of matter in the universe.

Conclusion

The study of galaxy rotation curves continues to be an important area of research in astrophysics. The diversity observed in these curves presents a challenge to existing models based on cold dark matter. By considering self-interacting dark matter models, researchers are finding ways to better explain the different behaviors seen across various galaxies.

As scientists explore the implications of these findings, there is hope for a deeper understanding of how galaxies form, evolve, and how dark matter influences their structure. The insights gained from studying the rotation curves of spiral and low surface brightness galaxies will continue to shape our view of the cosmos.

Original Source

Title: Gravothermal collapse and the diversity of galactic rotation curves

Abstract: The rotation curves of spiral galaxies exhibit a great diversity that challenge our understanding of galaxy formation and the nature of dark matter. Previous studies showed that in self-interacting dark matter (SIDM) models with a cross section per unit mass of $\sigma/m\approx{\cal O}(1)~{\rm cm^2/g}$, the predicted dark matter central densities are a good match to the observed densities in galaxies. In this work, we explore a regime with a larger cross section of $\sigma/m\approx20-40~{\rm cm^2/g}$ in dwarf galactic halos. We will show that such strong dark matter self-interactions can further amplify the diversity of halo densities inherited from their assembly history. High concentration halos can enter the gravothermal collapse phase within $10~{\rm Gyr}$, resulting in a high density, while low concentration ones remain in the expansion phase and have a low density. We fit the rotation curves of $14$ representative low surface brightness galaxies and demonstrate how the large range of observed central densities are naturally accommodated in the strong SIDM regime of $\sigma/m\approx20-40~{\rm cm^2/g}$. Galaxies that are outliers in the previous studies due to their high halo central densities, are no longer outliers in this SIDM regime as their halos would be in the collapse phase. For galaxies with a low density, the SIDM fits are robust to the variation of the cross section. Our findings open up a new window for testing gravothermal collapse, the unique signature of strong dark matter self-interactions, and exploring broad SIDM model space.

Authors: M. Grant Roberts, Manoj Kaplinghat, Mauro Valli, Hai-Bo Yu

Last Update: 2024-07-20 00:00:00

Language: English

Source URL: https://arxiv.org/abs/2407.15005

Source PDF: https://arxiv.org/pdf/2407.15005

Licence: https://creativecommons.org/licenses/by/4.0/

Changes: This summary was created with assistance from AI and may have inaccuracies. For accurate information, please refer to the original source documents linked here.

Thank you to arxiv for use of its open access interoperability.

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