Gravitational waves

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Gravitational waves

• Following Kenyon, general relativity, Oxford
  university press.
• Assume gravitational wave in flat spacetime (far
  away from source)
• For the source Newtonian source (relatively low
  velocities and mass, OK for neutron star)

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gravitational waves
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gravitational waves

• Two polarization states,
• h
• hx
• phase 0 pi/2 pi 3/2pi 2pi

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Proper separation
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gravitational waves

• two polarizations
• delta-x

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Newtonian source

• ignoring all terms containing hh and assuming
  that the velocities are rather low

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TT gauge
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TT gauge
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TT gauge
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TT gauge
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TT gauge
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amplitude modulation
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amplitude modulation
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amplitude modulation
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amplitude modulation

• constant term in amplitude zero for source above
  north pole. Also zero for terms with sin(2phi)0.
• star at theta0
• star at theta90

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amplitude modulation
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rotation