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Characteristics of Strange Quark Stars Under Extreme Conditions

Exploring how magnetic fields and rotation affect strange quark stars.

― 6 min read


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Strange Quark Stars (SQS) are an interesting type of compact object in the universe made from strange quark matter. These stars are thought to form under extreme conditions, such as in the cores of neutron stars where regular matter can transform into quark matter. In this article, we will explore the characteristics of strange quark stars, focusing on how strong Magnetic Fields and rapid rotation affect their behavior.

What Are Strange Quark Stars?

Strange quark stars are hypothetical celestial bodies composed entirely of strange quark matter, which includes strange quarks instead of the usual protons and neutrons found in ordinary stars. These stars are smaller and denser than neutron stars. The idea is that under such high pressures and densities, quarks can become free from their usual confinement within protons and neutrons and form a new state of matter.

The Importance of Magnetic Fields

Magnetic fields play a crucial role in the behavior of strange quark stars. When a star rotates, it generates a magnetic field that can become quite strong. In our study, we considered the effects of varying the strength of this magnetic field while also examining how fast the star rotates. The presence of a strong magnetic field can alter the structure and Stability of the star, impacting its mass, radius, and other properties.

Structural and Energetic Properties

The total energy of a strange quark star consists of its internal energy and the energy due to its magnetic field outside the star. The internal energy arises from the strange quark matter contained within the star, while the external energy results from the magnetic field acting at distances beyond the star’s surface.

In our exploration, we found that the total energy of an SQS increases when it is rotating compared to when it is not. This increase can be attributed to the additional energy associated with the star’s rotation, alongside the energy contributed by the magnetic field.

Mass And Radius Relationships

The relationship between a star's mass and radius is an important aspect of its characteristics. As we analyzed various configurations of strange quark stars, we noted that the maximum gravitational mass of the star tends to rise with both the strength of the magnetic field and the rotational frequency. In simpler terms, stronger magnetic fields and faster rotation allow the star to support more mass.

We specifically looked at how the mass changes with respect to the radius of the star. At lower masses and slower rotation rates, the star follows a certain trend in its mass-radius relationship. However, as rotation speeds increase and the magnetic field becomes stronger, we observed that this relationship changes, allowing the star to achieve higher masses.

Stability and Constraints

For a rotating strange quark star to be stable, it must meet specific criteria. There are four main criteria to keep in mind:

  1. Static Constraint: The star must resemble a non-rotating star when rotation is minimal.

  2. Low Mass Constraint: There is a lower mass limit below which the star cannot exist.

  3. Keplerian Constraint: The rotation speed must not exceed a certain maximum, known as the Keplerian frequency.

  4. Stability Constraint: The star should remain stable even when small changes occur in its shape or density.

We found that our models could satisfy these constraints, indicating that rotating strange quark stars can maintain stability across a variety of conditions.

Deformation Due to Rotation and Magnetic Fields

Rotating stars can experience changes in shape, becoming more oblate (flattened at the poles). The extent of this deformation depends on both the strength of the magnetic field and the rotational speed of the star.

We discovered that stronger magnetic fields lead to greater deformation. We measured this deformation by comparing the star's equatorial radius to its polar radius, and we found a clear trend indicating how the magnetic force and rotation impact the star's shape.

Binding Energy and Compactness

The binding energy of a star refers to the energy required to disassemble it into separate parts. We explored the relation between the total binding energy of strange quark stars and their compactness, which is a measure of how densely packed the star's mass is. Our findings showed a linear relationship between binding energy and compactness across various configurations.

This relationship helps provide insights into the internal workings of strange quark stars and indicates how their structure can be influenced by external factors such as rotation and magnetic fields.

Observational Signatures and Implications

Strange quark stars are of great interest because they can offer clues about the nature of matter under extreme conditions. Their characteristics might help explain some observed phenomena in the universe, such as fast radio bursts or the behavior of certain pulsars.

For instance, some pulsars that have been detected might have masses that align well with our predictions for strange quark stars, suggesting that these exotic objects could exist in our universe.

The Role of the Equation Of State

The equation of state (EOS) describes how matter behaves under different conditions, such as varying densities and pressures. In our study, we employed a specific model (the MIT bag model) to calculate the EOS for strange quark stars. This model incorporates factors like the effects of magnetic fields and can significantly influence the predicted properties of the stars.

Understanding the EOS for strange quark stars allows us to make more accurate predictions about their mass, radius, and stability, which can be compared with observational data from telescopes and gravitational wave detectors.

Conclusion

Strange quark stars represent a fascinating area of research in astrophysics. By studying how strong magnetic fields and rapid rotation affect these stars, we gain valuable insights into the extreme conditions of matter in the universe. Our findings contribute to the understanding of these exotic objects and their potential existence, while also providing clues to the fundamental properties of matter at its most basic level.

As we continue to explore the universe, strange quark stars will likely remain a key topic of interest, helping to bridge our understanding of theoretical physics and observable cosmic phenomena.

Original Source

Title: The maximum mass and deformation of rotating strange quark stars with strong magnetic fields

Abstract: We study the structure and total energy of a strange quark star (SQS) endowed with a strong magnetic field with different rotational frequencies. The MIT bag model is used, with the density-dependent bag constant for the equation of state (EOS). The EOS is computed considering the Landau quantization effect regarding the strong magnetic fields (up to $5\times10^{17}$ G) in the interior of the strange quark star. Using the LORENE library, we calculate the structural parameters of SQS for different setups of magnetic field strengths and rotational frequencies. In each setup, we perform calculations for $51$ stellar configurations, with specified central enthalpy values. We investigate the configurations with the maximum gravitational mass of SQS in each setup. Our models of SQSs are compared in the maximum gravitational mass, binding energy, compactness, and deformation of the star. We show that the gravitational mass might exceed $2.3 M_\odot$ in some models, which is comparable with the mass of the recently detected ``black widow'' pulsar \emph{PSR J0952-0607} and the mass of \emph{GW190814} detected by the LIGO/Virgo collaboration. The deformation and maximum gravitational mass of SQS can be characterized by simple functions that have been fitted to account for variations in both magnetic field strength and frequency. Rapidly rotating strange stars have a minimum gravitational mass given by the equatorial mass-shedding limit.

Authors: Fatemeh Kayanikhoo, Mateusz Kapusta, Miljenko Čemeljić

Last Update: 2023-05-03 00:00:00

Language: English

Source URL: https://arxiv.org/abs/2305.03055

Source PDF: https://arxiv.org/pdf/2305.03055

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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