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Taylor E.F. — Exploring Black Holes: Introduction to General Relativity
Taylor E.F. — Exploring Black Holes: Introduction to General Relativity



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Íàçâàíèå: Exploring Black Holes: Introduction to General Relativity

Àâòîð: Taylor E.F.

Àííîòàöèÿ:

Authored by Oersted Medal winner Edwin Taylor and foremost relativist John Archibald Wheeler, this unique book offers a concise, directed examination of general relativity and black holes. Its goal is to provide tools that motivate students to become active participants in carrying out their own investigations about curved spacetime near Earth and black holes. To that end, the book uses calculus and algebra, rather than tensors, to make general relativity accessible to second- and third-year students. Five chapters introduce basic theory and seven projects guide readers in the analysis of major applications.


ßçûê: en

Ðóáðèêà: Ôèçèêà/

Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö

ed2k: ed2k stats

Ãîä èçäàíèÿ: 2003

Êîëè÷åñòâî ñòðàíèö: 352

Äîáàâëåíà â êàòàëîã: 07.03.2009

Îïåðàöèè: Ïîëîæèòü íà ïîëêó | Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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Ïðåäìåòíûé óêàçàòåëü
$E_{rest} = mc^{2}$      1-11
Aberration of light      5-26—30
Accelerating expansion of Universe      G-20
Acceleration, gravitational      2-46 3-31 B-19—21
Acceleration, tidal      1-14—16 2-6—7 2-32 B-18—21 5-2
Accretion disk      F-2 F-4 F-25
Advanced civilization, defined      F-25
Aging      1-5—7 3-4
Aging, Principle of      see "Principle of Extremal Aging"
Alice in Wonderland      1-1 B-1
Andromeda galaxy      1-4
Angle, azimuthal      2-16
Angular momentum, derived from Extremal Aging      4-2—5
Angular momentum, from shell velocity      4-22
Angular momentum, of object in Kerr geometry      F-13
Angular momentum, of spinning black hole      F-2
Angular momentum, parameters      F-2
Angular momentum, properties of      4-5—8
Aphelion      4-26 C-3
Apple, Newton's      2-5
Astronaut, interview      B-1
Astronaut, stretching      2-6 2-46 B-18—21
Azimuthal angle $\varphi$      2-16
Background radiation, cosmic      G-21
Baked on the shell?      5-27
Balloon of various dimensions      G-2—6
Beacon      3-10—12 5-35—37
Big Bang, Project G seeing      G-17—19
Black hole, area never decreases      2-48
Black hole, dilute      2-46
Black hole, dropping in on      3-30
Black hole, energy conversion using      3-29—30
Black hole, escape from      2-4 4-7 4-21
Black hole, extracting energy from      F-20—24 F-28—29
Black hole, extreme angular momentum      F-5—7
Black hole, measuring distance from      5-33
Black hole, more about (box)      3-3
Black hole, no escape from      3-19—23 B-13—16
Black hole, Reissner — Nordstroem      F-31
Black hole, science inside      B-3
Black hole, shadow of      5-33
Black hole, temperature of      5-27 5-37
Black hole, time travel using      4-32
Black hole, turning around using      4-32—33
Blue shift, gravitational      2-13 2-30
Blunder of my life, biggest      G-1 G-11
Boltzmann's constant      5-27
Bookkeeper Kerr      F-8—11
Bookkeeper Schwarzschild      2-34—38
Boyer — Lindquist coordinates      F-2—3 F-19
Carroll, Lewis, quote      B-1
Cauchy horizon      F-5 F-30
Centrifugal pseudo force      4-13
Chandrasekhar, S., quote      F-1
Chesapeake Bay, general relativity over      2-47
Circular orbits      see "Orbit circular"
Clay pigeon      3-6
Clock, far-away      2-27—30 F-3
Clock, personal far-away      2-29
Clock, recording      1-18
Clock, reference      1-17
Clock, synchronize      1-17 2-27 2-29 A-4 G-7 G-10—11
Closed Universe      G-6 G-7—12 G-15—21
Conv, subscript meaning "in conventional units"      1-13 GL-1
Coordinate radius      see "Reduced circumference"
Coordinate systems      2-31—38 B-4 F-2
Copernicus, Nicolaus      2-8
Corona      E-2
Cosmic background radiation      G-21
Cosmic rays, super      1-22
Cosmic red shift      G-18
Cosmological principle      G-1—2
Cover, explanation of      D-12—17
Critical value of mass, $M_{crit}$      G-13—14
Crunch of Universe      G-7—12
Crunch, time to arrive at      3-21—22
Curvature factor      2-21
Curvature of spacetime      1-16 2-3 2-6—7
Curvature of universe      G-13—15
Cycloid      G-8—12
Dark matter      D-11
Diamond necklace      D-16—17
Dickinson, Emily, quotes      4-1 5-1
Differentials, sloppy use of      2-20
Disney Epcot Center      2-10
Distance, determines geometry      2-1—3
Distance, frame distance      1-1—2
Distance, proper      1-3—5
Diving candidate      B-1—3
Diving frequency shift      B-25
Donut, Einstein      D-12—15
Doppler effect      2-13 5-26 G-18
Drip frame      B-4 B-26
Edge, over the      3-19—23
Effective potential, for light      5-10—13 5-33
Effective potential, for orbit of Mercury      C-6—7
Effective potential, in Newtonian mechanics      4-11—14
Effective potential, in Schwarzschild spacetime      4-14—20
Eggbeater oscillations      B-5
Einstein field equations      2-20
Einstein Ring      5-21 5-24—25 D-9—11
Einstein, Albert, "biggest blunder of my life,"      G-1 G-11
Einstein, Albert, "Did you doubt it?"      D-1
Einstein, Albert, "invented" curved spacetime      4-9
Einstein, Albert, quotes      1-1 2-1 2-4 2-20 3-1 B-10 E-1
Elevator safety      1-14
Embedding diagrams      2-25—26
Empire State Building      1-14
Energy, conversion using black hole      3-29—30
Energy, derived from extremal aging      1-7—12 3-6—10 4-2—5 F-13
Energy, energy-mass conversion      1-22
Energy, extracting energy from Kerr black hole      F-20—24 F-28—29
Energy, from shell velocity      4-22
Energy, in Kerr spacetime      F-13
Energy, in Schwarzschild spacetime      3-6—10
Energy, in special relativity      1-7—12
Energy, measured at infinity      3-10—11
Energy, measured by shell observer      3-17—19
Energy, negative energy      F-20—24 F-28—29
Energy, Newton approximates plunging energy      3-33
Energy, of a clock bolted to a spherical shell      3-12
Energy, of a particle falling from rest at infinity      3-12
Energy, production by a quasar      5-35 F-4 F-24—27
Energy, rest      1-11
entropy      2-48
Epcot Center, Disney      2-10
Ephemendes      C-2
Ephemeris Time      2-28
Equatorial plane      2-15—16 F-2 F-7
Ergosphere      F-7—8 F-20—24 F-28—29
Escape velocity      2-22
Event      1-2 2-1—3
Event horizon      see "Horizon"
Extremal Aging      see "Principle of Extremal Aging"
Extreme Kerr black hole      F-5—7
Falling from rest at infinity      3-12—17
Far-away clock, personal      2-29
Far-away observer      1-18 see
Far-away time      2-19 2-27—30 F-3
Field equations      2-20
Final view      B-22—25 5-27—30
Flash, headlight      B-14—16
Flash, synchronizing      1-17
Flash, taillight      B-14—17
Flat spacetime      1-5 2-4—7
Flat spacetime, limits of      1-14—16 2-5—7 2-27
Flat spacetime, metric for      1-2—5 2-17—18
Flat Universe      G-6 G-12—15
Frame distance      1-2
Frame dragging      F-7—10 F-13—16
Frame time      1-2
Frame, drip frame      B-4
Frame, hail frame      B-5
Frame, inertial      see "Free-float frame"
Frame, rain frame      B-4—6
Free-float frame, in curved spacetime      2-4—7 2-31—33
Free-float frame, in special relativity      1-1 1-14—16
Frequency shift      B-25 5-34—37
Frozen star      3-23 see
Fuller, Buckminster      2-8
Galilei, Galileo, quote      G-21
General relativity      1-1 1-16
General relativity over Chesapeake Bay      2-47—48
General relativity, readings in      R-1—4
Geodesic      2-4—5 3-4
Geometric units      1-2 2-13 4-3 F-2 F-31
Geometry determined by "distances"      2-1—3
glossaries      GL-1—7
Gravitation      1-14—16 2-5
Gravitational acceleration      2-46—47 3-31—32 B-19—21
Gravitational blue shift      2-13 2-30
Gravitational constant G      2-13
Gravitational radius (not used in this book)      2-21
Gravitational red shift      2-12—13 2-30 2-45 5-34
Hail frame      B-5 B-26
Harmonic oscillator, linear      C-3—8
Hawking radiation      2-4 5-27
Hawking temperature      5-27 5-37
Hawking, Stephen, quotes      2-24 F-3
Headlight flash      B-14—16
Hilbert, David      2-30
Horizon      2-21 F-4—5
Horizon, alarm for spaceship      3-32
Horizon, as a one-way barrier      3-19—23 B-13—16 5-33 F-4—5
Horizon, Cauchy horizon      F-5 F-30
Horizon, crossing the      3-19—23 5-33
Horizon, measuring radius inside      B-8
Horizon, Newton predicts      2-22
Horizon, one-way motion inside      3-20 B-13—16 F-15
Horizon, origin of term      R-2
Horizon, trajectories of particle inside      B-21—22
Horizon-to-crunch time for hurled particle      3-25
Horizon-to-crunch time for light      B-16—19
Horizon-to-crunch time for particle dropped from rest at infinity      3-21—22
Horizon-to-crunch time for particle dropped from rest on a shell      3-21 3-31
Hurling stone into black hole      3-25
Hurling stone into black hole, shell energy of      3-28—29
Hyperradius of the universe      G-4—5
Hypersphere      G-4
Iceberg      2-1
Impact parameter b      B-23 B-25 4-6 5-6 D-3—5 D-9—10
Inertial frame      see "Free-float frame"
Insertion problem      B-26
Interferometry, very long baseline (VLBI)      D-9
Interval, spacelike      1-4 2-19
Interval, timelike      1-2 2-19
Invariant      1-3
Invariant, mass      1-13
Invariant, proper distance      1-3—5
Invariant, wristwatch time      1-3
Irreducible mass      F-24—25
Kepler's laws of planetary motion      4-31
Kerr bookkeeper      F-8—11
Kerr — Newman geometry      3-3
Krufe-edge orbit      4-8—10 4-19 5-12—14
Latticework of clocks      1-17 2-38
Light cone, forward      B-14—15
Light cone, in rain coordinates      B-15
Light cone, radial trajectories of      B-16—19
Light sphere      5-15—16 5-33
Light, alternative speeds      5-2—5 5-7—9
Light, effective potential for      5-10—13 5-33
Light, energy of in final view      B-24
Light, faster than, inside horizon?      B-6—12
Light, forecasting trajectory of      5-9—10
Light, frequency shift      5-34 see "Blue "Cosmic "Doppler
Light, motion of, in Kerr geometry      F-10—12
Light, orbiting      5-5—8
Light, pressure of      1-23
Light, radial trajectories of, in Schwarzschild spacetime      B-16—18
Light, Schwarzschild maps of motion      see "Schwarzschild map"
Light, shell observer measures light speed unity      5-4—5
Linear harmonic oscillator      C-3—8
Local free-float frame      1-14—16 2-4—7
MACHO      D-11
Magnitude, stellar      G-20
Marx, Groucho, quotes      2-45 4-2
Mass in relativity      1-12—13
Mass in units of length      2-13—15
Mass parameter of the Universe      G-8
Mass parameter of the Universe, critical value      G-13—15
Mass, irreducible      F-24—25
Mass, mass-energy conversion      1-22
Mass, no change with velocity      1-13
Mass, of astronomical objects      2-16
Mass, test particle      1-13
Mass-inflation singularity      B-5 F-5
Masses of some astronomical objects      2-16
Massive compact halo objects (MACHOs)      D-11
Merciful ending?      B-18—21
Metric as micrometer      2-32
Metric for flat spacetime      1-2 1-4
Metric for model Universe      G-6—7
Metric for rain frame      B-12—14
Metric in polar coordinates      2-17
Metric, Kerr — Newman      3-3
Metric, on spherical shell      2-33
Metric, Reissner — Nordstroem      F-30—31
Metric, Schwarzschild      2-19—24
Microlensing      D-11—12
Micrometer, metric as      2-32
Misner, Charles, quotes      4-2 G-1
Mixmaster singularity      B-5
Momentum in special relativity      1-12
Momentum, derivation      1-23
Moon, distance to      E-6
Motion, constants of angular momentum near nonrotating black hole      4-4
Motion, constants of energy and angular momentum near extreme rotating black hole      F-13
Motion, constants of energy in special relativity      1-11
Motion, constants of energy near non-rotating black hole      3-9
Motion, constants of momentum in special relativity      1-12
Negative energy      F-20—24 F-28—29
Neutron star, acceleration of gravity at surface of      3-32
Neutron star, deflection of light by      D-8
Neutron star, kinetic energy hitting      3-28
Neutron star, pulsar      F-1
Newcomb, Simon      C-2
Newman spacetime      3-3
Newton's apple      2-5
Newton, approximates plunging energy      3-33
Newton, circular orbits      4-30—31
Newton, gravitation theory      2-13
Newton, predicts deflection of starlight by Sun      D-1—3
Newton, predicts horizon of black hole      2-22
Newton, quotes      4-2 4-26
Observer, far-away      1-18 2-35 2-38 F-3
Observer, in special relativity      1-16—18
Observer, Schwarzschild      2-35
Occultation      D-8
Open Universe      G-6 G-12—15
Orbit, circular      4-20 4-25 4-28—32
Orbit, computing      4-9 F-30
Orbit, forecasting      4-8 4-23
Orbit, knife-edge      4-8—10 4-19 5-12—14
Orbit, Newtonian      4-30—31 C-4—6
Orbiting light      5-5—8
Orbiting particles      F-30
Oscillator, linear harmonic      C-3—8
Ouch time      2-4—6 B-18—21
Paradox, twin      1-5
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