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Hairy Black Holes: Beyond the Cosmic Vacuum

Discover the unique features of hairy black holes and their role in the universe.

Oscar J. C. Dias, Prahar Mitra, Jorge E. Santos

― 5 min read


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Have you ever wondered what happens when you mix a black hole with a twist? Welcome to the world of hairy Black Holes! They’re called "hairy" not because they’re fuzzy or have a wild hairstyle, but because they possess Scalar Fields, unlike regular black holes that come with no extra accessories.

Let's dive into the whirlpool of swirling black holes, and trust me, it's not as scary as it sounds!

What is a Black Hole?

First things first. A black hole is a region in space where gravity is so strong that nothing, not even light, can escape from it. Picture it as a cosmic vacuum cleaner, sucking in everything nearby without a shred of mercy. Regular black holes are bald, like that friend who insists they don't need a haircut anymore. They are simple and straightforward.

Enter the Hairy Black Hole

Now, what if we added some flair to this cosmic vacuum cleaner? Enter the hairy black hole! These bad boys come with extra features—scalar fields, which give them a kind of "hair." So, instead of just being bald, they show off a bit more personality.

Scalar Fields? What Now?

A scalar field is basically a mathematical way of describing something that has a value at every point in space. It’s like a temperature map of the universe, but instead of just showing how hot or cold it is, it gives black holes some extra characteristics. Imagine your black hole wearing a stylish scarf; that's the scalar field for you!

Why Should We Care?

So why are hairy black holes important? Well, they help scientists understand the universe better. They act like cosmic laboratories where physicists can study how gravity, quantum mechanics, and Thermodynamics work together. This might sound a bit heavy, but think of it like peeking into a cosmic kitchen to see how the universe cooks up its goodies.

The Dance of the Black Holes

In the realm of black holes, there exists a fascinating dance known as the AdS/CFT correspondence. It's a bit of a mouthful, but it basically suggests that there’s a relationship between gravity in a certain type of space (anti-de Sitter space) and quantum field theories on the boundary of that space.

Imagine two completely different parties happening at the same time: one on the dance floor of a nightclub (the black hole) and the other at a quiet café outside (the quantum field theory). They seem independent, but through some cosmic twist, they influence each other.

The Search for Hairy Black Holes

Scientists are on a quest to find hairy black holes, which led them to the world of gauged supergravity. Picture a wild treasure hunt where researchers sift through complex equations and theories to find these elusive objects. The journey is just as exciting as the destination!

Stability: The Character of Our Hairy Friends

When it comes to hairy black holes, stability is key. You wouldn’t want your black hole to lose its "hair" and revert back to being bald, right? Researchers have found that some hairy black holes can exist alongside bald ones, but under certain conditions. It’s like having a fashionable friend who can pull off multiple looks without losing their charm.

Black Holes and Thermodynamics: A Match Made in Heaven

Interestingly, black holes behave in ways that resemble thermodynamic systems. They have temperatures and even entropy, which means they could be warming up for a cosmic party! This similarity opens up exciting new avenues for research. Just imagine black holes sipping on cosmic cocktails while discussing their properties!

The Instability Dance

As with any party, sometimes things can get a little shaky. Some black holes can become unstable, leading to phenomena like scalar condensation. Think of a black hole experiencing a mid-life crisis, trying to figure out if it wants to keep its hair or embrace baldness again.

The Merger of Black Holes: A Cosmic Love Story

In the grand theatre of the universe, black holes can also merge together, creating new, more massive black holes. This is a bit like two stars colliding and throwing a big cosmic party. During these Mergers, hairy black holes may also lose their “hair” and merge into one sleek, shiny black hole.

The Future: What Lies Ahead?

As we look forward, the study of hairy black holes promises to reveal more about the mysteries of the universe. Scientists will continue searching for new solutions, and who knows, maybe one day we’ll find a regular supersymmetric hairy black hole that embraces both qualities!

Conclusion: The Cosmic Hairdo

In conclusion, hairy black holes are like the fashionable rebels of the universe, flaunting their scalar fields while dancing to the cosmic beat. They push the boundaries of our understanding and have the potential to unlock secrets about gravity, quantum mechanics, and the very fabric of spacetime.

So, the next time someone talks about black holes, just remember: they might be bald, but there’s always room for a little hair!

Original Source

Title: Charged Rotating Hairy Black Holes in AdS$_5 \times S^5$: Unveiling their Secrets

Abstract: Using a mix of analytical and numerical methods, we construct new rotating, charged "hairy" black hole solutions of $D=5$, ${\cal N}=8$ gauged supergravity that are dual, via the AdS/CFT correspondence, to thermal states in $D=4$, ${\cal N}=4$ SYM at finite chemical and angular potential, thereby complementing and extending the results of [arXiv:1005.1287, arXiv:1806.01849, arXiv:1809.04084]. These solutions uplift to asymptotically AdS$_5 \times S^5$ solutions of Type IIB supergravity with equal angular momenta along AdS$_5$ ($J=J_1=J_2$) and $S^5$ ($Q=Q_1=Q_2=Q_3$). As we lower the mass $E$ at fixed $Q$ and $J$, the known Cveti\v{c}-L\"u-Pope (CLP) black holes are unstable to scalar condensation and the hairy black holes constructed here emerge as novel solutions associated to the instability. In the region of phase space where the CLP and hairy black holes coexist, the hairy black holes dominate the microcanonical ensemble and, therefore, describe a new thermodynamic phase of SYM. The hairy black holes extend beyond the CLP extremality surface all the way to the BPS surface, defined by $E = 3 Q + 2 J / L$. Through a combination of analytical and numerical techniques, we argue that the BPS limit of the hairy black holes is a singular, horizonless solution, and $not$ a new two-parameter family of BPS black holes that extend the known one-parameter Gutowski-Reall (GR) black hole solution, in contradiction with the conjectures of [arXiv:1005.1287, arXiv:1806.01849]. To further support our conclusions, we perform a near-horizon analysis of the BPS equations and argue that they do not admit any regular solutions with an horizon.

Authors: Oscar J. C. Dias, Prahar Mitra, Jorge E. Santos

Last Update: 2024-11-27 00:00:00

Language: English

Source URL: https://arxiv.org/abs/2411.18712

Source PDF: https://arxiv.org/pdf/2411.18712

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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