scholarly journals Tidal Tensor and the Emission and Absorption of Gravitational Radiation

1974 ◽  
Vol 64 ◽  
pp. 104-104
Author(s):  
Terrence J. Sejnowski
Keyword(s):  
Gravitational Field ◽  
Gravitational Radiation ◽  
Extended Body ◽  
Local Exchange ◽  
Absorption And Emission ◽  
Long Wavelength ◽  
Normal Coordinates ◽  
Wavelength Limit ◽  
Energy And Momentum ◽  
Image Position

The absorption and emission of gravitational radiation can be calculated in the long wavelength limit by use of the tidal tensor, defined as the gradient of the gravitational pseudoforce, thus where ηb is orthogonal to the 4-velocity ua, and normal coordinates are understood.The exchange of energy and momentum between an extended body and the gravitational field is governed by appropriate integrals of the tidal tensor over space and time.The tidal tensor is the trace Tabdb of the Bel-Robinson tensor Tabcd. In emty space this trace is zero and the tidal tensor vanishes; there is no local exchange of energy.

scholarly journals Investigation of the long wavelength limit of soliton self-frequency shift in a silica fiber

2018 ◽  
Vol 26 (15) ◽  
pp. 19637 ◽  
Author(s):  
Bo Li ◽  
Mengran Wang ◽  
Kriti Charan ◽  
Ming-jun Li ◽  
Chris Xu
Keyword(s):  
Frequency Shift ◽  
Silica Fiber ◽  
Long Wavelength ◽  
Wavelength Limit

Stationary charged surface configuration of a conducting liquid in the long-wavelength limit

2008 ◽  
Vol 34 (2) ◽  
pp. 97-99 ◽  
Author(s):  
K. E. Bobrov ◽  
G. Sh. Boltachev ◽  
N. M. Zubarev ◽  
O. V. Zubareva
Keyword(s):  
Charged Surface ◽  
Conducting Liquid ◽  
Long Wavelength ◽  
Wavelength Limit ◽  
Surface Configuration

scholarly journals Thermodynamic, structural, transport and surface properties of Pb-Tl liquid alloy

BIBECHANA ◽  
2015 ◽  
Vol 13 ◽  
pp. 100-113 ◽  
Author(s):  
SK Yadav ◽  
LN Jha ◽  
D Adhikari
Keyword(s):  
Liquid Alloy ◽  
Surface Concentration ◽  
Heat Of Formation ◽  
Concentration Fluctuation ◽  
Heat Of Mixing ◽  
Long Wavelength ◽  
Wavelength Limit ◽  
Energy Of Mixing ◽  
Free Energy Of Mixing ◽  
Experimental Values

Thermodynamic properties, such as free energy of mixing, heat of mixing, entropy of mixing, activities and the microscopic structural properties, such as concentration fluctuation in long-wavelength limit and chemical short-range order parameter of Pb-Tl liquid alloy at 773 K have been studied on the basis of regular associated solution model. We have estimated the mole fractions of the complex and the unassociated atoms assuming the existence of  complex as energetically favoured in the liquid state. The compositional contributions of the heat of mixing of the species Pb and Tl and the heat of formation of the compound to the net enthalpy change have also been studied. The transport properties such as, viscosity and the ratio of mutual and intrinsic coefficients have been studied using different approaches. The surface concentration of Tl atoms has been computed and it has been employed to calculate the surface tension of Pb-Tl liquid alloy. Both the theoretical and the experimental values of the concentration fluctuation in long-wavelength limit are found to be less than the ideal value, revealing that the concerned system is hetero-coordinating in nature. The interaction energies are found to be temperature dependent and respective alloy is found to be weakly interacting system. BIBECHANA 13 (2016) 100-113

scholarly journals Black hole superradiance as a probe of ultra-light new particles

2016 ◽  
Vol 12 (S324) ◽  
pp. 273-278
Author(s):  
Robert Lasenby
Keyword(s):  
Beyond Standard Model ◽  
Black Holes ◽  
Black Hole ◽  
Standard Model ◽  
Gravitational Wave ◽  
Exponential Growth ◽  
Gravitational Radiation ◽  
Bound States ◽  
Penrose Process ◽  
Energy And Momentum

AbstractBosonic fields around a spinning black hole can be amplified via ‘superradiance’, a wave analogue of the Penrose process, which extracts energy and momentum from the black hole. For hypothetical ultra-light bosons, with Compton wavelengths on ≳ km scales, such a process can lead to the exponential growth of gravitationally bound states around astrophysical Kerr black holes. If such particles exist, as predicted in many theories of beyond Standard Model physics, then these bosonic clouds give rise to a number of potentially-observable signals. Among the most promising are monochromatic gravitational radiation signals which could be detected at Advanced LIGO and future gravitational wave observatories.

The Long-wavelength Limit of the Dielectric Function for Dense Plasmas

1999 ◽  
Vol 39 (1-2) ◽  
pp. 77-80 ◽  
Author(s):  
H. Reinholz ◽  
R. Redmer ◽  
G. Röpke ◽  
A. Wierling
Keyword(s):  
Dielectric Function ◽  
Dense Plasmas ◽  
Long Wavelength ◽  
Wavelength Limit

scholarly journals On a Set of Conform-Invariant Equations of the Gravitational Field

1953 ◽  
Vol 10 (1) ◽  
pp. 16-20 ◽  
Author(s):  
H. A. Buchdahl
Keyword(s):  
Gravitational Field ◽  
Linear Combination ◽  
Curvature Tensor ◽  
Wide Class ◽  
Ricci Tensor ◽  
Empty Space ◽  
Image Position ◽  
Derivatives Of

Eddington has considered equations of the gravitational field in empty space which are of the fourth differential order, viz. the sets of equations which express the vanishing of the Hamiltonian derivatives of certain fundamental invariants. The author has shown that a wide class of such equations are satisfied by any solution of the equationswhere Gμν and gμν are the components of the Ricci tensor and the metrical tensor respectively, whilst λ is an arbitrary constant. For a V4 this applies in particular when the invariant referred to above is chosen from the setwhere Bμνσρ is the covariant curvature tensor. K3 has been included since, according to a result due to Lanczos3, its Hamiltonian derivative is a linear combination of and , i.e. of the Hamiltonian derivatives of K1 and K2. In fact

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