4,577 research outputs found
Energy Distribution of a G\"{o}del-Type Space-Time
We calculate the energy and momentum distributions associated with a
G\"{o}del-type space-time, using the well-known energy-momentum complexes of
Landau and Lifshitz and M{\o}ller. We show that the definitions of Landau and
Lifshitz and M{\o}ller do not furnish a consistent result.Comment: LaTex, no figure
M{\o}ller Energy-Momentum Complex of a Static Axially Symmetric Vacuum Space-Time
The energy and momentum densities associated with the Weyl metric are
calculated using M{\o}ller's energy-momentum complex. These results are
compared with the results obtained by using the energy-momentum complexes of
Einstein, Landau and Lifshitz, Papapetrou and Bergmann. We show that the
aforementioned different prescriptions and that of M{\o}ller do not give the
same energy density, while give the same momentum density.Comment: LATEX, 9 pages, no figures, an improved version, references added,
corrections [Admin note: substantial overlap with gr-qc/0403097,
gr-qc/0404108 , gr-qc/0303009 , hep-th/0311050
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The two sector endogenous growth model: an atlas
In this paper we investigate the underlying structure of the Lucas (1988) endogenous growth model. We derive analytically, the restrictions on the parameter space that are necessary and sufficient for the existence of balanced growth paths and saddle-path stable local dynamics. We demonstrate that in contrast to the original model, with the addition of an external effect and depreciation in the human capital sector, the Lucas model can be made consistent with the high degrees of intertemporal elasticities of substitution increasingly estimated in the empirical literature even if there is a significant degree of increasing returns to scale in the physical production sector of the economy. Finally we demonstrate that for a given baseline rate of steady state growth, with the inclusion of modest degrees of depreciation and external effects to the human capital production process, the model can accommodate the widest possible range of economies including those characterized by low discount factors, high elasticities of intertemporal substitution, increasing returns in the final goods sector, and also both the high rates of population growth and steady state per-capita output growth we observe in many parts of the world today
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The impact of immigrant dynasties on wage inequality
I construct a set of dynamic macroeconomic models to analyze the effect of unskilled immigration on wage inequality. The immigrants or their descendants do not remain unskilled–over time they may approach or exceed the general level of educational attainment. In the baseline model, the economy’s capital supply is determined endogenously by the savings behavior of infinite-lived dynasties, and I also consider models in which the supply of capital is perfectly elastic, or exogenously determined. I derive a simple formula that determines the time discounted value of the skill premium enjoyed by college-educated workers following a change in the rate of immigration for unskilled workers, or a change in the degree or rate at which unskilled immigrants become skilled. I compare the calculations of the skill premiums to data from the U.S. Current Population Survey to determine the long-run effect of different immigrant groups
on wage inequality in the United States
M{\o}ller's Energy in the Kantowski-Sachs Space-time
We present a counter example to paper \cite{P71} and show that the result
obtained is correct for a class of metric but not general. We calculate the
total energy of the Kantowski-Sachs space-time by using the energy-momentum
definitions of M{\o}ller in the theory of general relativity and the tetrad
theory of gravity.Comment: 7 pages and no figure
On the Singularities of Reissner-Nordstr\"{o}m Space-Time
It is shown that if two Reissner-Nordstr\"{o}m space-times, both with the
same mass m and charge e, glued together in the singularities, then the light
ray in black hole of the first space-time can go continuously through the
singularity into black hole of the second. The behavior of tidal forces near
the Reissner-Nordstr\"{o}m space-time singularity is examined by considering
what happens between two particles falling freely towards the singularity.Comment: Latex, 4 figures, 11 page
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