Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1995-11-06
Grav.Cosmol. 2 (1996) 1-6
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages
Scientific paper
We consider a theory in which spacetime is an n-dimensional surface $V_n$ embedded in an $N$-dimensional space $V_N$. In order to enable also the Kaluza-Klein approach we admit $n > 4$. The dynamics is given by the minimal surface action in a curved embedding space. The latter is taken, in our specific model, as being a conformally flat space. In the quantization of the model we start from a generalization of the Howe-Tucker action which depends on the embedding variables ${\eta}^a (x)$ and the (intrinsic) induced metric $g_{\mu \nu}$ on $V_n$. If in the path integral we perform only the functional integration over ${\eta}^a (x)$, we obtain the effective action which functionally depends on $g_{\mu \nu}$ and contains the Ricci scalar $R$ and its higher orders $R^2$ etc. But due to our special choice of the conformal factor in $V_N$ enterig our original action, it turns out that the effective action contains also the source term. The latter is in general that of a $p$-dimensional membrane ($p$-brane); in particular we consider the case of a point particle. Thus, starting from the basic fields ${\eta}^a (x)$, we induce not only the kinetic term for $g_{\mu \nu}$, but also the "matter" source term.
No associations
LandOfFree
The Embedding Model of Induced Gravity with Bosonic Sources does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Embedding Model of Induced Gravity with Bosonic Sources, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Embedding Model of Induced Gravity with Bosonic Sources will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-692883