141 research outputs found
Electromagnetic duality in general relativity
By resolving the Riemann curvature relative to a unit timelike vector into
electric and magnetic parts, we consider duality relations analogous to the
electromagnetic theory. It turns out that the duality symmetry of the Einstein
action implies the Einstein vacuum equation without the cosmological term. The
vacuum equation is invariant under interchange of active and passive electric
parts giving rise to the same vacuum solutions but the gravitational constant
changes sign. Further by modifying the equation it is possible to construct
interesting dual solutions to vacuum as well as to flat spacetimes.Comment: 18 pages, LaTEX versio
A duality relation for fluid spacetime
We consider the electromagnetic resolution of gravitational field. We show
that under the duality transformation, in which active and passive electric
parts of the Riemann curvature are interchanged, a fluid spacetime in comoving
coordinates remains invariant in its character with density and pressure
transforming, while energy flux and anisotropic pressure remaining unaltered.
Further if fluid admits a barotropic equation of state,
where , which will transform to . Clearly the stiff fluid and dust are dual to each-other
while , will go to flat spacetime. However the n and the deSitter ) universes ar e self-dual.Comment: 5 pages, LaTeX version, Accepted in Classical Quantum Gravity as a
Lette
Response of bio-regulators to yield and quality of Indian mustard (Brassica juncea L. Czernj. and Cosson) under different irrigation environments
A field study was conducted during rabi seasons of 2008 and 2009 to evaluated of productivity of Indian mustard (Brassica juncea L.) by foliar spray of bio-regulators under different irrigation environments. Amongst treatments, the application of sufficient irrigation water (four irrigations) recorded the highest number siliqua per plant, higher number of seeds per siliqua, 1000 seed weight and yields as compared to all other irrigation treatments. Results show that an increased in seed yield of 92.40 and 39.37 % under sufficient irrigation and limitedwater condition in 2008 and 93.34% and 40.31% in 2009, respectively over deficient irrigation conditions, foliar sprays of 100 ppm thioglycollic acid at initiation of branching were recorded highest yield attributes and yields. Similarly, 500 ppm of thiourea at initiation of branching and flowering stages also gave second best highest yield attributes and yields as compared to all other bio-regulators spray stages. However, bio-regulators sprays were not recorded any significant effect on oil and protein content. The results were concluded that economic feasibility to improve productivity of Indian mustard with four irrigations levels and sprays of 100 ppm thioglycollic acid and 500 ppm of thiourea at initiation of branching and flowering stages under hyper arid environment
Towards a path integral for the pure-spin connection formulation of gravity
A proposal for the path-integral of pure-spin-connection formulation of
gravity is described, based on the two-form formulation of Capovilla et. al. It
is shown that the resulting effective-action for the spin-connection, upon
functional integration of the two-form field and the auxiliary matrix
field is {\it non-polynomial}, even for the case of vanishing
cosmological constant and absence of any matter couplings. Further, a
diagramatic evaluation is proposed for the contribution of the matrix-field to
the pure spin connection action.Comment: 8 pages in plain-TeX.-----IUCAA_TH/9
On-brane data for braneworld stars
Stellar structure in braneworlds is markedly different from that in ordinary
general relativity. As an indispensable first step towards a more general
analysis, we completely solve the ``on brane'' 4-dimensional Gauss and Codazzi
equations for an arbitrary static spherically symmetric star in a
Randall--Sundrum type II braneworld. We then indicate how this on-brane
boundary data should be propagated into the bulk in order to determine the full
5-dimensional spacetime geometry. Finally, we demonstrate how this procedure
can be generalized to solid objects such as planets.Comment: 5 pages, RevTeX4, v2: Main algorithm and results substantially
simplified, further discussion and references adde
Vacuum solutions of the gravitational field equations in the brane world model
We consider some classes of solutions of the static, spherically symmetric
gravitational field equations in the vacuum in the brane world scenario, in
which our Universe is a three-brane embedded in a higher dimensional
space-time. The vacuum field equations on the brane are reduced to a system of
two ordinary differential equations, which describe all the geometric
properties of the vacuum as functions of the dark pressure and dark radiation
terms (the projections of the Weyl curvature of the bulk, generating non-local
brane stresses). Several classes of exact solutions of the vacuum gravitational
field equations on the brane are derived. In the particular case of a vanishing
dark pressure the integration of the field equations can be reduced to the
integration of an Abel type equation. A perturbative procedure, based on the
iterative solution of an integral equation, is also developed for this case.
Brane vacuums with particular symmetries are investigated by using Lie group
techniques. In the case of a static vacuum brane admitting a one-parameter
group of conformal motions the exact solution of the field equations can be
found, with the functional form of the dark radiation and pressure terms
uniquely fixed by the symmetry. The requirement of the invariance of the field
equations with respect to the quasi-homologous group of transformations also
imposes a unique, linear proportionality relation between the dark energy and
dark pressure. A homology theorem for the static, spherically symmetric
gravitational field equations in the vacuum on the brane is also proven.Comment: 13 pages, no figures, to appear in PR
Gravitationally induced electromagnetism at the Compton scale
It is shown that Einstein gravity tends to modify the electric and magnetic
fields appreciably at distances of the order of the Compton wavelength. At that
distance the gravitational field becomes spin dominated rather than mass
dominated. The gravitational field couples to the electromagnetic field via the
Einstein-Maxwell equations which in the simplest model causes the electrostatic
field of charged spinning particles to acquire an oblate structure relative to
the spin direction. For electrons and protons, a pure Coulomb field is
therefore likely to be incompatible with general relativity at the Compton
scale. In the simplest model, the magnetic dipole corresponds to the Dirac
g-factor, g=2. Also, it follows from the form of the electric field that the
electric dipole moment vanishes, in agreement with current experimental limits
for the electron. Quantitatively, the classical Einstein-Maxwell theory
predicts the magnetic and electric dipoles of the electron to an accuracy of
about one part in 10^{-3} or better. Going to the next multipole order, one
finds that the first non-vanishing higher multipole is the electric quadrupole
moment which is predicted to be -124 barn for the electron. Any non-zero value
of the electric quadrupole moment for the electron or the proton would be a
clear sign of curvature due to the implied violation of rotation invariance.
There is also a possible spherical modification of the Coulomb force
proportional to r^{-4}. However, the size of this effect is well below current
experimental limits. The corrections to the hydrogen spectrum are expected to
be small but possibly detectable.Comment: 11 pages, 3 figures: revised version published in Class. Quantum
Grav. 23 (2006) 3111-3122; Conclusions unchange
Gravitational Geons on the Brane
In this paper, we examine the possibility of static, spherically symmetric
gravitational geons on a 3 dimensional brane embedded in a 4+1 dimensional
space-time. We choose a specific g_tt for the brane-world space-time metric. We
then calculate g_rr analytically in the weak field limit and numerically for
stronger fields. We show that the induced field equations on the brane do admit
gravitational geon solutions.Comment: 14 pages with 9 figures. To appear in General Relativity and
Gravitatio
A Plane-Symmetric Inhomogeneous Cosmological Model of Perfect Fluid Distribution with Electromagnetic Field I
A plane-symmetric inhomogeneous cosmological model of perfect fluid
distribution with electro-magnetic field is obtained. The source of the
magnetic field is due to an electric current produced along the z-axis.
is the non-vanishing component of electromagnetic field tensor. To get
a deterministic solution, we assume the free gravitational field is Petrov
type-II non-degenerate. The behaviour of the electro-magnetic field tensor
together with some physical aspects of the model are also discussed.Comment: 11 pages, no figur
Radiating black holes in Einstein-Yang-Mills theory and cosmic censorship
Exact nonstatic spherically symmetric black-hole solution of the higher
dimensional Einstein-Yang-Mills equations for a null dust with Yang-Mills gauge
charge are obtained by employing Wu-Yang \textit{ansatz}, namely, HD-EYM Vaidya
solution. It is interesting to note that gravitational contribution of YM gauge
charge for this ansatz is indeed opposite (attractive rather than repulsive)
that of Maxwell charge. It turns out that the gravitational collapse of null
dust with YM gauge charge admit strong curvature shell focusing naked
singularities violating cosmic censorship. However, there is significant
shrinkage of the initial data space for a naked singularity of the HD-Vaidya
collapse due to presence of YM gauge charge. The effect of YM gauge charge on
structure and location of the apparent and event horizons is also discussed.Comment: 9 RevTeX pages, 1 figur
- …