6 papers
Subtleties in non-equilibrium horizon thermodynamics of modified gravity theories
Vishnu A Pai, Vishnu S Namboothiri, Titus K Mathew
Thermodynamic interpretations of gravity often arise from applying the Clausius relation to spacetime horizons. In modified gravity theories with higher-order equations of motion,…
Evolution of fluctuations in horizon energy and its dependence on the degrees of freedom
Vishnu S Namboothiri, Krishna P B, Adithya P S +1
Taking account of the thermal nature of the Hubble horizon of the expanding universe, we analysed the evolution of relative fluctuations of horizon energy. For this analysis, we us…
A Menon-type Identity derived using Cohen-Ramanujan sum
Arya Chandran, K Vishnu Namboothiri
Menon's identity is a classical identity involving gcd sums and the Euler totient function . We derived the Menon-type identity $\sum\limits_{\substack{m=1\\(m.n^s)_s=1}}^{n^s}…
Raychaudhuri Equation,Geometrical Flows and Geometrical Entropy
Lawrence Paul Horwitz, Vishnu S Namboothiri, Gautham Varma K +3
Raychaudhuri equation is derived by assuming geometric flow in spacetime M of n+1 dimensions. The equation turns into a harmonic oscillator form under suitable transformations.Ther…
Saha Ionization and Particle production in Rainbow Rindler Metric
Vishnu S Namboothiri, Gautham Varma K
The energy of a particle in the Rainbow Rindler metric is derived using Hamilton's variational principle. Saha Ionization equation and Pair production in Rainbow Rindler metric hav…
Raychaudhuri Equation in Kaluza Klein space time
Vishnu S Namboothiri
We studied the Raychaudhuri equation in Kaluza-Klein space-time. We derived an additional term that is solely due to Kaluza-Klein's unification. This term affects the defocus of wo…