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## PowerPoint Slideshow about ' Black-Hole Bombs @LHC' - lang

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Outlook

- What is a Black Hole?
- Black-Hole Bomb(BHB)
- Mini Black Holes
- BHB @LHC

“Dark Star”

Pierre-Simon Laplace

(1749~1827)

If gravity is strong enough,

even light could not escape the star.

General Relativity

“Matter tells spacetime

how to curve,

and

spacetime tells matter

how to move.”

John Wheeler

(1911~2008)

Schwarzschild geometry

Karl Schwarzschild (1873~1916)

“Black Hole” by J. Wheeler

The term black hole was coined in 1967 during a talk he gave at the NASA Goddard Institute of Space Studies (GISS).

---wikipedia

John Wheeler (1911~2008)

Bekensteinand BH entropy

The black hole area never decreases.

- Black holes have entropy.
- Black hole entropy is proportional to its area.

SBH=A/4

Jacob Bekenstein(1947~)

Generalized 2nd Law

Hawking Radiation

entropy ~ heat ~ radiation

Summary of basic BH properties

- There is a singularity inside a BH with infinite gravity.
- There are event horizons for every BHs.
- Even light cannot escape
- from the inside of the horizon to outside.
- Time goes slower as a clock approaches the horizon,
- and stops at the horizon, for an outside observer.

R=2GM/c2

Cont’d

- Black holes can have angular momentum and charges.
- Black holes have ENTROPY.
- The BH entropy is proportional to its horizontal area.
- Black holes emit Hawking radiation.
- The Hawking temperature is
- inversely proportional to the BH mass.

Superradiance

Rotational energy is extracted to the scattered particle.

w

W

angular velocity

Superradiance occurs when

w < mW

Extra Dimensions

MP =(spatial effect)X M0

New fundamental scale

~1TeV

Gravity is extended

to extra dim’s.

Easy to make BH in XDs

- Actual Planck mass is not so large.
- >>> Actual gravitational constant is not so small.
- >>> Small mss is enough to produce BH.
- >>> BH can be produced at low energy.
- >>> LHC can produce BH!

Searches for mini BH @LHC(CMS)

CMS, PLB697(2010)

Bhb @LHC

Superradiance+Mirror=BHB

Mirror

angular equation

Near-horizon region

Change of variable

Near-horizon solution

Hypergeometric function

Matching the two regions

Near-horizon solution = Far-field solution

Imaginary part of frequency

Field amplification

dvswrh(Brane emission)

Brane emission for m0=120 GeV

Conclusions

- Rotating mini BHs can undergo the superradiance.
- If the emitted particles are reflected by a mirror,
- the system can be a Bomb.
- LHC could produce the BHB.

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