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Black Holes: The Inside Story

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In 1916 used Einstein's General Relativity to define a Black Hole. Defined the 'event horizon' gravitational radius of a black hole AKA the ... – PowerPoint PPT presentation

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Title: Black Holes: The Inside Story


1
Black HolesThe Inside Story
  • Presented by
  • Robert E. Strong
    strongro_at_westliberty.edu
  • Elizabeth (Libby) A. Strong
    strongli_at_westliberty.edu
  • Richard J. Pollack
    astronomy_at_smartcenter.org
  • From West Liberty State College SMART-Center
  • Near Earth Object Foundation

2
Black HolesThe Inside Story
  • Presented by
  • Robert E. Strong
    strongro_at_westliberty.edu
  • Elizabeth (Libby) A. Strong
    strongli_at_westliberty.edu
  • Richard J. Pollack
    astronomy_at_smartcenter.org
  • In an effort to be environmentally friendly
  • Complete copies of this presentation can be found
    at
  • www.smartcenter.org/

3
Black Holes - the Inside Story The History of
Gravity Ideas
  • Aristotle (384-322 BC)
  • Great thinker - lousy experimentalist
  • Qualitative, not Quantitative
  • But, that did not stop us from using his ideas
    for nearly 1,800 years as unquestioned facts

4
Black Holes - the Inside Story The History of
Gravity Ideas
  • Aristotle (continued)
  • Everything has a tendency to fall from up to
    down, toward the Earth
  • Heavy objects fall faster than do light objects
  • ACTIVITY - Falling

5
Black Holes - the Inside Story The History of
Gravity Ideas
  • Galileo Galilei (1564-1642)
  • Great experimentalist
  • Proves that all bodies fall at the same rate when
    taking into account air resistance
  • ACTIVITY - geometry counts in falling

6
Black Holes - the Inside Story The History of
Gravity Ideas
  • Isaac Newton (1643-1727)
  • Stood on Galileos shoulders and took his ideas
    further and deeper
  • Gravity as a force at a distance
  • Force of gravity varies as the inverse square of
    the distance between centers

7
Black Holes - the Inside Story The History of
Gravity Ideas
  • Force of Gravity is a Law of Universal
    Gravitation
  • Where
  • Fg force of gravity
  • m1 and m2 are masses
  • r distance between the centers of mass

8
Black Holes - the Inside Story The History of
Gravity Ideas
  • John Michell (1724-1793)
  • Brilliant scientist, in 1784 pointed out that a
    star that was sufficiently massive and compact
    would have such a strong gravitational force that
    light would not be able to escape the surface,
    making a Dark Star

No Picture Found
9
Black Holes - the Inside Story The History of
Gravity Ideas
  • John Michell, using Newtons ideas of gravity as
    a force, saw that if a strong enough gravity were
    at the surface, that not only could material
    objects not leave the surface, but light itself
    may bend and be trapped

10
Black Holes - the Inside Story The History of
Gravity Ideas
  • Henry Cavendish (1731-1810)
  • Finishes the work of Michell (did the set-up
    experiment) and Newton, and determines G the
    Gravitational Constant in 1797

11
Black Holes - the Inside Story The History of
Gravity Ideas
  • Simon Pierre LaPlace (1749-1827)
  • Independently suggested the Michell idea of a
    Dark Star in his early writings and works
  • Later editions left the Dark Star idea out

12
Black Holes - the Inside Story The History of
Gravity Ideas
  • Albert Einstein (1879-1955)
  • In 1916 offers the Theory of General Relativity
  • Suggests that gravity is not a force, but rather
    is a curvature in space and time
  • Gravity is geometry

13
Black Holes - the Inside Story The History of
Gravity Ideas
14
Black Holes - the Inside Story The History of
Gravity Ideas
  • Karl Schwarzchild (1873-1916)
  • In 1916 used Einsteins General Relativity to
    define a Black Hole
  • Defined the event horizon gravitational radius
    of a black hole AKA the Schwarzchild Radius

15
Black Holes - the Inside Story The History of
Gravity Ideas
  • Schwarzchild Radius
  • Escape Velocity
  • Set (Celeritas)
  • Solve for the radius

16
Black Holes - the Inside Story The History of
Gravity Ideas
  • ACTIVITY - Schwarzchild Radius for an Earth mass
  • G 6.6742x10-11 m3/kg/s2
  • me 5.9742x1024kg
  • c 2.9979x108 m/s
  • c2 8.9874x1016 m2/s2
  • rs 8.8731x10-3m

17
Black Holes - the Inside Story The History of
Gravity Ideas
  • ACTIVITY - How big is this?
  • If rs 8.8731x10-3m
  • A US dime has a radius of 8.955x10-3m
  • Or about 1 greater than the Schwarzchild Radius
    for the mass of the Earth compressed into a Black
    Hole

18
Black Holes - the Inside Story The History of
Gravity Ideas
  • If the Earth has a Schwarzchild Radius rs
    8.8731x10-3m
  • This is 7.1863x108 times smaller in radius
  • With a density of 3.7112x1026 times greater

19
Black Holes - the Inside Story The History of
Gravity Ideas
  • Schwarzchild Radius
  • What happens when we multiply the mass of a
    matter object, i.e. clay, 2 times?
  • ACTIVITY - look at the above equation
  • Note


2 small matter objects of rm 1 2 x Radius
1.2599 rm Volume 2 x Density 1 x
20
Black Holes - the Inside Story The History of
Gravity Ideas
  • Schwarzchild Radius
  • What happens when we multiply mass of a Black
    Hole 2 times?
  • ACTIVITY - look at the above equation
  • Note


2 small Black Holes of rs 1 2 x Radius 2
rs Volume 8 x Density 0.25 x
21
Black Holes - the Inside Story The History of
Gravity Ideas
  • Schwarzchild Radius
  • What happens when we multiply the mass of a
    matter object, i.e. clay, 10 times?
  • ACTIVITY - look at the above equation
  • Note

10 small matter objects of rm 1 10 x Radius
2.1544 rm Volume 10 x Density 1 x
22
Black Holes - the Inside Story The History of
Gravity Ideas
  • Schwarzchild Radius
  • What happens when we multiply mass of a Black
    Hole 10 times?
  • ACTIVITY - look at the above equation
  • Note

10 small Black Holes of rs 1 10 x Radius
10 rs Volume 1,000 x Density 0.01 x
23
Black Holes - the Inside Story The History of
Gravity Ideas
  • ACTIVITY - Reflections
  • Same Matter objects addition rules
  • Radius
  • Volume
  • Density
  • Same Black Holes addition rules
  • Radius rs x mass multiplier
  • Volume
  • Density

24
Black Holes - the Inside Story The History of
Gravity Ideas
  • ACTIVITY
  • Simulation via Paper Clips, Balloons, and
    nanoLight Second Strings
  • Same Matter objects addition rules
  • Radius cluster on nls string rm x (mass
    multiplier)1/3
  • Volume rm x (mass multiplier)
  • Density same as rm
  • Same Black Holes addition rules
  • Radius chain length on nls string rs x mass
    multiplier
  • Volume discover and discuss
  • Density discover and discuss

25
Black Holes - the Inside Story The History of
Gravity Ideas
  • Arthur A. Eddington (1882-1944)
  • In 1919 experimentally verified General
    Relativity by observing star light curving next
    to the Sun during a solar eclipse
  • Thought no Black Holes

26
Black Holes - the Inside Story The History of
Gravity Ideas
  • Subrahmanyan Chandrasekhar (1910-1995)
  • Pioneered work on stellar evolution end states
  • Supernovae
  • White Dwarfs
  • Neutron Stars
  • Black Holes

27
Black Holes - the Inside Story Mass is the
Defining (final) Word
  • Still mostly theory numbers will range
  • Limit of mass for a White Dwarf 1.35 to 2.1 solar
    masses (lt 1.44)
  • Neutron Star limits 2-3 solar masses
  • Any stellar mass gt 5 solar masses will become a
    Black Hole

28
Black Holes - the Inside Story Mass is easily
found in the dance
  • The mass of an object determines if it is a Main
    Sequence Star, White Dwarf, Neutron Star, or
    Black Hole
  • Best way to determine the mass of a star is if it
    is a part of a binary system

29
Black Holes - the Inside Story The History of
Gravity Ideas
  • John Wheeler (1911-)
  • Worked in General Relativity, gravitational
    collapse, and quantum gravity
  • Coined the phrase Black Hole in 1967

30
Black Holes - the Inside Story The History of
Gravity Ideas
  • Kip Thorn (1940-)
  • Student of Wheeler
  • Long time friend and colleague of Stephen Hawking
    (on-going bets)
  • Expert on General Relativity, Black Holes,
    Relativity, Time Travel, Wormholes, and White
    Holes

31
Black Holes - the Inside Story Popular Ideas
Wormholes
32
Black Holes - the Inside Story Popular Culture
Black Holes and Wormholes
33
Black Holes - the Inside Story Wormholes in
fiction
34
Black Holes - the Inside Story Wormholes
  • Wormholes have the problem of the pathways
    becoming unstable if the Black Hole is rotating
  • Spatiotemporal frame dragging occurs - this
    pinches off the pathway separating the two ends

35
Black Holes - the Inside Story Black Holes,
Wormholes, White Holes, Quasars
  • Problem with using a Black Hole / Wormhole (if
    stable) for getting around the universe is the
    difficulty of tidal forces and
  • the horror of under going Fractal
    Spaghettification

36
Black Holes - the Inside Story Black Holes,
Wormholes, White Holes, Quasars
37
Black Holes - the Inside Story Black Holes,
Wormholes, White Holes, Quasars
38
Black Holes - the Inside Story Black Holes,
Wormholes, White Holes, Quasars and Scale
39
Black Holes - the Inside Story As Cosmic Bull
Dozers
  • Active Galactic Nuclei, i.e., Quasars, or super
    massive Black Holes at the center of a galaxy may
    create cavities and voids of extra-galactic
    material and may move the material for entire
    clusters of galaxies over billions of years
  • Shaping the galactic fabric of the Universe on
    the grandest of scales tens of millions ly across

40
Black Holes - the Inside Story Milky Way
Monster?
  • Does the Milky Way Galaxy have a super massive
    Black Hole at its center like most galaxies?
  • Watch the latest evidence - you decide
  • Remember a compact object gt 5 solar masses is a
    Black Hole!

41
Black Holes - the Inside Story Milky Way
Monster!
  • The video shows ten years of observation and
    extrapolation by Prof. Ghez of stars at the core
    of the Milky Way Galaxy orbiting about an object
    of 4 million solar masses!
  • Watch SO-2 and SO-16

42
Black Holes - the Inside Story The History of
Gravity Ideas
  • Stephen Hawking (1942-)
  • One of the greatest minds of our time
  • Along with Thorne, Hawking has pushed the
    envelope of our understanding of the Universe via
    General Relativity Black Holes

43
Black Holes - the Inside Story Hawking
Radiation
  • Stephen Hawking 1970 predicted micro-Black Holes
    may exist and could evaporate via to Hawking
    Radiation

44
Black Holes - the Inside Story Hawking
Radiation
  • Hawking Radiation, if it exists makes micro Black
    Holes bright in radiation of photons and
    particles
  • Eventually the micro Black Holes will evaporate
    in a gamma-ray burst
  • None found to date

45
Black Holes - the Inside Story The History of
Gravity Ideas
  • Jocelyn Bell-Burnell (1943-)
  • 1967 Discovered Pulsars
  • And thus Neutron Stars
  • Solved the LGM-1 mystery
  • Poster person for dealing with the men only -
    good ol boys science club

46
Black Holes - the Inside Story Discovers
Pulsars / Neutron Stars
  • Crab Nebula with Pulsar / Neutron Star rotating
    at 30 / seconds

47
Black Holes - the Inside Story Pulsar
Lighthouse
48
Black Holes - the Inside Story Neutron Stars -
almost there
  • Pulsar Jets - Radiation

49
Black Holes - the Inside Story Cygnus X-1, a
Binary Stellar Black Hole?
50
Black Holes - the Inside Story Cygnus X-1
diagram
20-35 Solar Masses
51
Black Holes - the Inside Story 1.0 Solar Mass
Black Hole
  • ACTIVITY - Schwarzchild Radius for a Solar Mass
  • G 6.6742x10-11 m3/kg/s2
  • ms 1.9884x1030 kg
  • c 2.9979x108 m/s
  • c2 8.9874x1016 m2/s2
  • rs 2.9532x103 m 3 km

52
Black Holes - the Inside Story 1.0 Solar Mass
Black Hole Unit
  • Thus the Schwarzchild Radius rs for a 1.0 Solar
    Mass Black Hole is
  • 3 km
  • Looking at the equation
  • We see that to estimate the size of a Black
    Holes Schwarzchild radius or radius of the event
    horizon, we only need to use mass units in solar
    masses and multiply by 3km

53
Black Holes - the Inside Story MWG 4 Million
Solar Mass BH
  • ACTIVITY - Schwarzchild Radius for 4 million SM
  • m4Msm 4x106 Solar Masses x 3 km/Solar Mass
  • rs 1.2x107 km
  • 40 light seconds

54
Black Holes - the Inside Story MWG 400 Billion
Solar Mass BH
  • ACTIVITY - Schwarzchild Radius for Milky Way
    Galaxy
  • mmwg 400x109 Solar Masses x 3 km/Solar
    Mass
  • rs 1.2x1012 km
  • 4.003x106 light seconds
  • 0.127 light Years

55
Black Holes - the Inside Story Universe 80
Billion Galaxy Mass BH
  • ACTIVITY - Schwarzchild Radius for mass of
    Universe
  • mu 80x109 MWG x 1.2x1012 km
  • rs 9.6x1022 km
  • 3.202x1017 light seconds
  • 1.015x1010 light Years

56
Black Holes - the Inside Story Universe Total
Mass Black Hole
  • ACTIVITY - Schwarzchild Radius for entire mass
    dark matter Dark Energy of Universe
  • Universe thought to be
  • 73 Dark Energy
  • 23 cold Dark Matter
  • 4 Matter (80x109 MWG)
  • Mutotal 80x109 MWG x 1.2x1012 km x ( 25)
  • rs 2.4x1024 km
  • 8.0x1018 light seconds
  • 2.5x1011 light Years

Dark Energy
Dark Matter
57
Black Holes - the Inside Story Implications of
a Universe Total Mass BH
  • ACTIVITY - Schwarzchild Radius for entire mass
    dark matter Dark Energy of Universe
  • Universe thought to be
  • 73 Dark Energy
  • 23 cold Dark Matter
  • 4 Matter (80x109 MWG)
  • 2.5x1011 light Years or 250 Billion light
    years
  • If the comoving distance to the edge of the
    visible universe is about 46.5 billion light
    years ?age (the age is 13.730.12 Billion years)

58
Black Holes - the Inside Story What is it like
in a Black Hole?
  • ACTIVITY - Schwarzchild Radius for entire mass
    dark matter Dark Energy of Universe
  • IF rs for the entire mass of the universe
    2.5x1011 light Years or 250 Billion light years
  • IF the comoving distance to the edge of the
    visible universe is about 46.5 Billion light
    years
  • THEN we are presently within the event horizon of
    a Black Hole having the mass of the entire
    Universe with room to spare

59
Black Holes - the Inside Story What is it like
in a Black Hole2?
  • ACTIVITY - Lets try to make sense of all this
  • IF rs for the entire mass of the universe 250
    Billion light years
  • IF the real radius of the visible universe 46.5
    billion light years
  • THEN we and all we know are presently / actually
    within the event horizon of a Black Hole
  • THEN a Universe sized Black Hole does not have a
    singularity at its core, just look around you

60
Black Holes - the Inside Story The History of
Gravity Ideas continues
  • Robert E. Strong (1958-)
  • Modeling wormholes with soap bubbles
  • Trying to keep up with the fun of it all
  • Constantly wondering about the cosmic
    perspective

61
Black Holes - the Inside Story Discussions,
Questions, Sharing
  • Please feel free to contact us
  • Note the Power Point is found at
    www.smartcenter.org/blackhole
  • Presented by
  • Robert E. Strong
    strongro_at_westliberty.edu
  • Elizabeth (Libby) A. Strong strongli_at_westlibert
    y.edu
  • Richard J. Pollack
    astronomy_at_smartcenter.org
  • From West Liberty State College SMART-Center
  • Near Earth Object Foundation
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