Recent content by nikhilb1997

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    Integrate x^(5/2) e^(-x): Solving w/ Substitution & √2π

    I was just trying it i understood how it works. I should be able to use both together. Thanks a lot.
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    Integrate x^(5/2) e^(-x): Solving w/ Substitution & √2π

    Thanks a lot feynman's trick was a good read. But if suppose i did have to use the given result then, what would be the method to go forward with?
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    Integrate x^(5/2) e^(-x): Solving w/ Substitution & √2π

    Homework Statement Using \int_{-\infty}^{\infty}e^{-x^2/2} dx = \sqrt{2\pi}, Integrate x^(5/2) e^(-x) dx from 0 to infinty 2. The attempt at a solution I tried substituting x = u^2/2 but i could not simplify further. Please help me with the problem. Thank you in advance.
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    Exploring the Relationship Between Hubble Constant and $\phi$

    Thanks a lot. I did miss that term because this was the part i was confused about but i guess that was important too.
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    Exploring the Relationship Between Hubble Constant and $\phi$

    1. Homework Statement If \phi is a usual field is it possible that H\dot{\phi}=-\partial^2\phi/{\partial x^2} Where H is the Hubble constant and the dot denotes time derivative 2. Homework Equations H\dot{\phi}=-\partial^2\phi/{\partial x^2} 3. The Attempt at a Solution I tried different...
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    General Relativity-surface gravity in killing horizon

    Thanks a lot. I did the first two steps but I didn't know what to do next. Contracting gave the required result.
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    General Relativity-surface gravity in killing horizon

    1. Homework Statement Prove the following- \kappa^2=-1/2(\bigtriangledown_{\mu}V_{\nu})(\bigtriangledown^{\mu}V^{\nu}) Given, the following, \chi^{\lambda}\bigtriangledown_{\lambda}\chi^{\nu}=-\kappa\chi^{\nu} \bigtriangledown_{(\mu}\chi_{\nu)}=0...
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    Energy-momentum tensor for electromagnetism

    Thanks but can you suggest a book or something where i can understand this better, a good explanatory text perhaps.
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    Energy-momentum tensor for electromagnetism

    Homework Statement Derive Tμν=FμλFνλ-1/4ημνFλθFλθ From \mathcal{L}=1/4F_{μν}F^{μν}+A_μJ^μ Homework Equations Above 3. The Attempt at a Solution The first term of the given equation and the second term of the equation to prove are i believe the same.i know, Jμ=\partial_νF^{μν}...
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    Trace reverse perturbation

    Thanks a lot andrien.
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    Trace reverse perturbation

    I had to find the absolute value of the ##n_{ij}## matrix. Is this is where I went wrong. Thank you very much
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    Trace reverse perturbation

    I tried it but I guess I made a mistake since I got h(bar) on the left side and on the right side I got h-1/2h. Please help.
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    Trace reverse perturbation

    From the tensor, ##\bar{h}^{ij}=h^{ij}-1/2\eta^{ij}h## Where, h=##h^i_i##, Prove that ##\bar{h}=-h##, Where, ##\bar{h}=\bar{h}^i_i##
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