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Melek, M.

doi:10.1023/a:1002695910364

Cited by 4 publications

(5 citation statements)

References 18 publications

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“…Supposing the scalar field φ(x µ ) as a function of x and t only, i.e. φ(x µ ) = φ(x, t), and using the line element (6) in expression ( 4), the function G can be expressed as follows:…”

Section: Calculations Of G Due To Pgwmentioning

confidence: 99%

“…Using metric (6) for the photons of the laser beam moving in the direction of the x-axis, the relation between dt dτ and dx dτ is given by dt…”

Section: The Case Of Laser Interferometersmentioning

confidence: 99%

“…where τ is the proper time. It is possible to prove that the function G can be written as follows (cf [4][5][6] and references therein):…”

Section: Introductionmentioning

confidence: 99%

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On the sole influence of plane gravitational waves on the magnitude of the gradient of a scalar field

Melek¹

2002

Class. Quantum Grav.

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The sole influence of plane gravitational waves (PGW) on the magnitude of the gradient of a scalar field (MGSF) defined inside a medium, is calculated. The conditions on the relations between the fluctuations in the gradient of the scalar field (GSF) and PGW leading to increase or decrease of the GSF due to the sole influence of PGW, are given. Two special cases of laser interferometers and cryogenic bar detectors are presented as an application of the proposed approach.

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Section: Calculations Of G Due To Pgwmentioning

confidence: 99%

“…Using metric (6) for the photons of the laser beam moving in the direction of the x-axis, the relation between dt dτ and dx dτ is given by dt…”

Section: The Case Of Laser Interferometersmentioning

confidence: 99%

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On the sole influence of plane gravitational waves on the magnitude of the gradient of a scalar field

Melek¹

2002

Class. Quantum Grav.

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“…Maggiore (2000) and Allen (1996) (5) can be understood as a kind of statistical average of the perturbations in the Universe through its evolution [cf. Melek (2002Melek ( , 2000 and references therein]. Hence, it is natural to define a covariant function V which measures the temporal variation of the magnitude of the gradient of A as follows:…”

Section: Introductionmentioning

confidence: 99%

“…It is possible to prove that the function V can be expressed as follows [cf. Melek (2002Melek ( , 2000 and references therein]:…”

Section: Introductionmentioning

confidence: 99%

On the Present Time Approximate Values of the Characteristic Parameters of the Primordial Gravitational Waves

Melek

2003

Symp. - Int. Astron. Union

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Abstract.An approach is used to find out the present time approximate values of the characteristic amplitudes, the spectral densities, the intensties and the frequencies of the £rimordial Gravitational Waves (PmGW), in the spatially perturbed Eriedman -Robertson -Walker (FRW) adiabatically expanding Universe. The temporal variation of the magnitude of the time gradient of the characteristic amplitudes of the PmGW is calculated in spatial perturbed FRW Universe. The obtained results via this non-conventional approach may be of interest to shed some light on the possibilities of searching for the PmGW at definite frequency bands by the existing and the future networks of detectors.

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Melek

2002

Astrophysics and Space Science

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Cited by 4 publications

References 18 publications

On the sole influence of plane gravitational waves on the magnitude of the gradient of a scalar field

On the sole influence of plane gravitational waves on the magnitude of the gradient of a scalar field

On the Present Time Approximate Values of the Characteristic Parameters of the Primordial Gravitational Waves

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