BLACK HOLES

Written by: Alyssa Sigala, Jen Weisberg, and Vaneza Espinoza, North Salinas High School, Salinas, CA 93906

 

General Information

FORMATION

If a star is large enough and it collapsed, it is possible that nothing (including light) could escape from it. All the matter of a star (even its energy) would be drawn into a dense single point.

SCHARZSCHILD BLACK HOLES

If the core of a star collapses and contains more than 2-3 solar masses, it will continue to shrink down into a singularity and form a black hole. If the object becomes small enough, the escape velocity nearby is so high that no light can escape. Information about the object or about the volume of space near it can not be recieved after it reaches this point. This region is refered to as a black hole. The boundary around this region in called the event horizon, because any event that takes place inside the surface is invisible to an outside observer. The Schwarzschild radius (Rs) is the radius within which an object must shink to become a black hole. Schwarzschild radius=2GM/c^2, where G is the gravitational constant (6.67X 10^-11 Nm^2/kg^2), M is the mass, and c is the speed of light.

KERR BLACK HOLES

A solution to the equations of general relatitivy that describes the properties of a rotating black hole. The rotation of a Kerr black holes splits the event horizon into two concentric surfaces, which touch at the poles. The region between these surfaces is known as the ergosphere. In the ergosphere, one could not resist being dragged around the black hole. It is possible for a particle to escape from the ergosphere and extract energy from the black holes.

Black holes from single collapsed stars

Name of star

Black hole mass (in solar masses)

Scharzschild Radius (distant to event horizon)

A0620-00

3-4

8844-11792 m

Cygnus X-1

4-8

11792-23585m

Sco X-1

3-10

8844-23585m

GS2000+25

3-10

8844-23585m

GX339-4

3-10

8844-23585m

V 404 Cygni

8-12

23585-35377m

Nova Muscae 1991

3-10

8844-23585m

Nova Ophiuchi 1977

6-7

17688-20636m

LMC X-3

7-10

20636-23585m

Supermassive black holes

Galaxy Name

Black hole mass (in solar masses)

Scharzschild Radius (distant to event horizon)

IE1740.9-2942

100,000

0.0019 Au

SgrA

2,000,000

0.0396 Au

Messier 32

3,000,000

0.0594 Au

Centaurus A

< 14,000,000

< 0.2770 Au

Messier 31

30,000,000

5.9358 Au

Messier 106

40,000,000

0.7914 Au

NGC 3379

50,000,000

0.9893 Au

NGC 3377

100,000,000

1.9786 Au

Messier 84

300,000,000

5.9358 Au

NGC 4486B

500,000,000

9.8931 Au

NGC 4594

1 X 10^9

19.7861 Au

NGC 4261

1 X 10^9

19.7861 Au

NGC 3115

2 X 10^9

39.5723 Au

Messier 87

3 X 10^9

59.3585 Au

Cygnus- A

5 X 10^9

98.9309 Au

Messier 51

Unknown

NGC 4151

Unknown


Positions and Masses of Black Holes

Galaxy

RA

Dec

Location

Type

Distance

M B

M BH

(units-->)

h m s

deg min sec

Constellation

light-years

M Sun

OurGalaxy

17 45 40

-29 00 28

Sag

Sbc

2.8X10^3

-17.7

3X10^6

M32= NGC221

0 42 41.9

+40 51 55

Andro

E2

2.3X10^6

-15.5

3X10^6

M31= NGC224

0 42 44.4

+41 16 8

Andro

Sb

2.3X10^6

-18.8

3X10^7

NGC3115

10 5 14.1

-7 43 7

Sextans

S0

27X10^6

-19.9

1X10^9

M104= NGC4594

12 39 59.4

-11 37 22

Virgo

Sa

30X10^6

-20.9

1X10^9

NGC3377

10 47 41.7

+13.59 0

Leo

E5

32X10^6

-18.8

8X10^7

M105= NGC3379

10 47 49.9

+12 34 57

Leo

E1

32X10^6

-19.8

1X10^8

NGC4342

12 23 38.8

+7 3 19

Virgo

S0

50X10^6

-17.0

3X10^8

NGC4486B

12 30 32.1

+12 29 27

Virgo

E1

50X10^6

-16.7

6X10^8

M84= NGC4274

12 25 3.7

+12 53 15

Virgo

E1

50x10^6

-21.0

1X10^9

M87= NGC4486

12 30 49.7

+12 23 24

Virgo

E0

50X10^6

-21.4

3X10^9

NGC4261

12 19 22.8

+5 49 36

Virgo

E2

94X10^6

-20.9

5X10^8

NGC7052

21 18 33.1

+26 26 55

Vulpecula

E4

191X10^6

-21.3

3X10^8

NGC6251

16 32 33.6

+82 32 17

Ursa Minor

E2

346X10^6

-22.7

6X10^8

M77= NGC1068

2 42 40.2

-00 00 48

Cetus

Sb

49X10^6

-18.8

1X10^7

M106= NGC4258

12 18 57.9

+47 18 16

Canes Venatici

Sbc

24X10^6

-17.3

4X10^7

NGC4945

13 05 26.2

-49 28 15

Centaurus

Scd

12X10^6

-15.1

1X10^6

ARP220

Serpens

250X10^6

M51= NGC5194

Whirlpool Galaxy

23X10^6

NGC1316

Fornax A Galaxy

53X10^6

NGC1566

Dorade

50X10^6

M33= NGC598

Triangulum Galxy

2.7X10^6

NGC5128

Centarius A

10X10^16

1X10^9

GX339-4

17 02 49

-48 47 35

*RA=right ascension in hours, seconds, and minutes*Dec=declination*M B=absolute magnitude*M BH=black hole mass realative to solar mass*


Notes


A0620-00 is an X-ray binary companion of a K star. 490-560nm spectra for A0620-00 was obtained at KPNO on January 17, 1985. The mass of the compart X-ray source is found to have a lower limit of 3.2 solar masses, strongly implying that it is a black hole, its mass is shown to exceed 7.3 solar masses if the K dwarf fills its Roche lobe during quiescence.


Cygnus X-1 was discovered as an X-ray source 30 years ago. This binary system is distant of 2.5 kpc, consists of the O9.7 Iab type supergiant with a temperature of about 31,000 K called, HDE 226868. A companion, significantly larger then 5 solar masses. It is about 14,000 light years away form earth. The rotation seen through spectral lines shifts back and forth of about 5.6 days. Of course, there is evidence that says that Cyhnus X-1 is not a black hole. It could be that HDE 226868 has a low mass for its size.


Nova Muscae 1991 is an X-ray binary believed to be composed of a low-mass late-type companion that is orbiting a massive object, possibly a black hole. The nova event was detected in 1991 both as a transient X-ray source and as an increase in optical brightness by about eight magnitudes. The tremendous brightening of the source probably arose from the sudden accretion of material from the low mass star onto its invisible companion. Recent optical photometric and spectroscopic observations reveal an orbital period of 10.4 hours. The low mass KO-K4 star is orbiting around an invisible companion with a maximum observed velocity of 409 km/s. Because the inclination of the orbit to the plane of the sky is unknown, the mass of the compact companion cannot be determined for sure. However, it is quite likely that the invisible star is at least 3 solar masses and therefore might be a black hole.


Sagittarius A at the center of the Milky Way is probably a massive balck hole. The mass is estimated from the motion of gas and stars in the region. Although Sagittarius A is gathering mass from its vicinity at a rate of about 10e-4 solar masses per year, a rather high rate, it is not as bright as would be expected. Therefore, Sagittarius A is extremely inefficient (one part in 100, 000) in converting the gravitational energy of the gatheree material into radition.


NGC 4621 is located 100 million light-years away in the direction of the constellation Virgo. Presumably, the black hole was at the center of the galaxy, but something has pulled it 20 light-years away from the center. It is concentrated into a region of space not much larger than our solar system.


GX339-4 has low and high states and presents a 14.5 month repetivity in the 3-4 month High state duration. There are multiwavelength observations of GX339-4, including radio mm and sm measurements, as well as high-energy X-rays and gamma-rays observations.


LMC X-3 has a mass of at least 7 and probably 10, which is at least twice the mass of its companion star. It is a B3 main sequence star. LMC stands for Large Magellanic Cloud, a small galaxy near our own Milky Way Galaxy. This black hole is located in the Dorado galaxy and has an orbital period of 1.70 days.