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Citation bot (talk | contribs) Add: s2cid, doi. | Use this bot. Report bugs. | Suggested by Corvus florensis | #UCB_webform 817/3500 |
m Change a couple of misplaced commas |
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<math display="block">S_{ij}=S^{||}{}_{ij}+S^{\perp}_{ij}+S^T{}_{ij},</math>
where
<math display="block">S^{||}{}_{ij}=(\nabla_i\nabla_j-\frac{1}{3}g_{ij}\nabla^2)B,</math>
where <math>B</math> is a scalar (the combination of derivatives is set by the condition that <math>S</math> be traceless), and
<math display="block"> S^\perp{}_{ij} = \nabla_iS^\perp{}_j + \
where <math>S^\perp{}_i</math> is a divergenceless spatial vector. This leaves only two independent components of <math>S^T{}_{ij}</math>, corresponding to the two [[Polarization (waves)|polarizations]] of [[gravitational wave]]s. (Since the graviton is massless, the two polarizations are orthogonal to the direction of propagation, just like the photon.)
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