Abstract
We present effective equations to describe the four-dimensional gravity of a brane world, assuming that a five-dimensional bulk spacetime satisfies the Einstein equations and gravity is confined on the Z2 symmetric brane. Applying this formalism to the Randall-Sundrum brane world model, we find two new additional terms in the Einstein equations: One is the quadratic term of the energy-momentum tensor of matter field and the other is the 5-dimensional Weyl curvature term. Although the four-dimensional effective equations are not closed and further information from the bulk is required, those terms may provide us windows to search for extra dimensions. We discuss some effects of those terms on cosmology and compact objects. Since those additional terms appear naturally from the present reduction, we apply it to other brane models. We study three models; the model with a bulk dilaton field motivated by Hořava-Witten model, the induced gravity brane model of Dvali, Gabadadze and Porrati, and the R2 inflationary model proposed by Starobinsky.
| Original language | English |
|---|---|
| Pages (from-to) | 59-90 |
| Number of pages | 32 |
| Journal | Progress of Theoretical Physics Supplement |
| Volume | 148 |
| Issue number | 2 |
| Publication status | Published - 2002 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
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The Einstein equations on a brane world. / Maeda, Keiichi.
In: Progress of Theoretical Physics Supplement, Vol. 148, No. 2, 2002, p. 59-90.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - The Einstein equations on a brane world
AU - Maeda, Keiichi
PY - 2002
Y1 - 2002
N2 - We present effective equations to describe the four-dimensional gravity of a brane world, assuming that a five-dimensional bulk spacetime satisfies the Einstein equations and gravity is confined on the Z2 symmetric brane. Applying this formalism to the Randall-Sundrum brane world model, we find two new additional terms in the Einstein equations: One is the quadratic term of the energy-momentum tensor of matter field and the other is the 5-dimensional Weyl curvature term. Although the four-dimensional effective equations are not closed and further information from the bulk is required, those terms may provide us windows to search for extra dimensions. We discuss some effects of those terms on cosmology and compact objects. Since those additional terms appear naturally from the present reduction, we apply it to other brane models. We study three models; the model with a bulk dilaton field motivated by Hořava-Witten model, the induced gravity brane model of Dvali, Gabadadze and Porrati, and the R2 inflationary model proposed by Starobinsky.
AB - We present effective equations to describe the four-dimensional gravity of a brane world, assuming that a five-dimensional bulk spacetime satisfies the Einstein equations and gravity is confined on the Z2 symmetric brane. Applying this formalism to the Randall-Sundrum brane world model, we find two new additional terms in the Einstein equations: One is the quadratic term of the energy-momentum tensor of matter field and the other is the 5-dimensional Weyl curvature term. Although the four-dimensional effective equations are not closed and further information from the bulk is required, those terms may provide us windows to search for extra dimensions. We discuss some effects of those terms on cosmology and compact objects. Since those additional terms appear naturally from the present reduction, we apply it to other brane models. We study three models; the model with a bulk dilaton field motivated by Hořava-Witten model, the induced gravity brane model of Dvali, Gabadadze and Porrati, and the R2 inflationary model proposed by Starobinsky.
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M3 - Article
AN - SCOPUS:0042833288
VL - 148
SP - 59
EP - 90
JO - Progress of Theoretical Physics
JF - Progress of Theoretical Physics
SN - 0033-068X
IS - 2
ER -