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most citedNoether symmetry in the higher order gravity theory

55 citations

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gr-qc2022★ 4 cited

Probing symmetric teleparallel gravity in the early universe

Avik De, Dalia Saha, Ganesh Subramaniam +1

General theory of relativity can be equivalently formulated on a flat space-time associating a torsion-free affine connection of non-vanishing non-metricity scalar . In this pap…

gr-qc2022★ 7 cited

The issue of Branched Hamiltonian in F(T) Teleparallel Gravity

Manas Chakrabortty, Kaushik Sarkar, Abhik Kumar Sanyal

As in the case of Lanczos-Lovelock gravity, the main advantage of F(T) gravity is said to be that it leads to second order field equations, while F(R) gravity theory leads to fourt…

gr-qc2021★ 39 cited

Bianchi Type-II Cosmological Model with Viscous Fluid

A. Banerjee, S. B. Duttachoudhury, Abhik Kumar Sanyal

A spatially homogeneous and locally rotationally symmetric Bianchi type-II cosmological model under the influence of both shear and bulk viscosity has been studied. Exact solutions…

gr-qc2021

New conserved tensors and Brans-Dicke type field equation, using integrability condition

Abhik Kumar Sanyal, Bijan Modak, Manas Chakrabortty

We explore some new off-shell and on-shell conserved quantities for a scalar field in Minkowski space, using integrability condition. The off-shell conserved tensors are related to…

gr-qc2019★ 2 cited

Some aspects of modified theory of gravity in Palatini formalism unveiled

Manas Chakrabortty, Nayem Sk, Abhik Kumar Sanyal

Under conformal transformation, f(R) theory of gravity in Palatini formalism leads to a Brans-Dicke type of scalar-tensor equivalent theory with a wrong sign in the effective kinet…

gr-qc2018★ 12 cited

Degenerate Hamiltonian operator in higher-order canonical gravity -- the problem and a remedy

Abhik Kumar Sanyal

Different routes towards the canonical formulation of a classical theory result in different canonically equivalent Hamiltonians, while their quantum counterparts are related throu…

gr-qc2017★ 10 cited

Equivalent and inequivalent canonical structures of higher order theories of gravity

Ranajit Mandal, Abhik Kumar Sanyal

Canonical formulation of higher order theory of gravity can only be accomplished associating additional degrees of freedom, which are extrinsic curvature tensor. Consequently, to m…

gr-qc2017★ 1 cited

Thermodynamics of irreversible particle creation phenomena and its cosmological consequence

Abhik Kumar Sanyal, Subhra Debnath

The study of particle creation phenomena at the expense of the gravitational field is of great research interest. It might solve the cosmological puzzle single-handedly, without th…

gr-qc2017★ 12 cited

On the equivalence between different canonical forms of F(R) theory of gravity

Nayem Sk., Abhik Kumar Sanyal

Classical equivalence between Jordan's and Einstein's frame counterparts of F(R) theory of gravity has recently been questioned, since the two produce different Noether symmetries,…

gr-qc2016★ 15 cited

Unified cosmology with Non-minimally coupled scalar-tensor theory of gravity

Behzad Tajahmad, Abhik Kumar Sanyal

Unlike Noether symmetry, a metric independent general conserved current exits for non-minimally coupled scalar-tensor theory of gravity, if the trace of the energy momentum tensor…

gr-qc2016★ 18 cited

Why scalar-tensor equivalent theories are not physically equivalent?

Nayem Sk., Abhik Kumar Sanyal

Whether Jordan's and Einstein's frame descriptions of F(R) theory of gravity are physically equivalent, is a long standing debate. However, practically none questioned on true math…

gr-qc2016★ 11 cited

History of cosmic evolution with modified Gauss-Bonnet-dilatonic coupled term

Subhra Debnath, Soumendra Nath Ruz, Ranajit Mandal +1

Gauss-Bonnet-dilatonic coupling in four dimension plays an important role to explain late time cosmic evolution. However, this term is an outcome of low energy string effective act…

gr-qc2015★ 5 cited

Validating variational principle for higher order theory of gravity

Soumendranath Ruz, Kaushik Sarkar, Nayem Sk +1

Metric variation of higher order theory of gravity requires to fix the Ricci scalar in addition to the metric tensor at the boundary. Fixing Ricci scalar at the boundary implies th…

gr-qc2013★ 9 cited

Field independent cosmic evolution

Nayem Sk., Abhik Kumar Sanyal

It has been shown earlier that Noether symmetry does not admit a form of F(R) corresponding to an action in which F(R) is coupled to scalar-tensor action for gravity or even for pu…

gr-qc2013★ 11 cited

Euclidean wormholes with minimally coupled scalar fields

Soumendranath Ruz, Subhra Debnath, Abhik Kumar Sanyal +1

A detailed study of quantum and semiclassical Euclidean wormholes for Einstein's theory with a minimally coupled scalar field has been performed for a class of potentials. Massless…

gr-qc2011★ 24 cited

Canonical formulation of curvature squared action in the presence of lapse function

Abhik Kumar Sanyal, Subhra Debnath, Soumendranath Ruz

Lapse function appears as Lagrange multiplier in Einstein-Hilbert action and its variation leads to the (0 0) equation of Einstein, which corresponds to the Hamiltonian constraint…

gr-qc2009★ 3 cited

Quantum cosmology of a classically constrained nonsingular Universe

Abhik Kumar Sanyal

The quantum cosmological version of a nonsingular Universe presented by Mukhanov and Brandenberger in the early nineties has been developed and the Hamilton Jacobi equation has bee…

gr-qc2002★ 18 cited

Quantum Mechanical Probability Interpretation In The Mini-superspace Model Of Higher Order Gravity Theory

Abhik Kumar Sanyal

It has been shown that inclusion of higher order curvature invariant terms in the Robertson-Walker minisuperspace model of the Einstein-Hilbert action leads to Schrodinger like equ…

gr-qc2001★ 32 cited

Quantum Cosmology With R+R^2 Gravity

A. K. Sanyal, B. Modak

Canonical quantization of an action containing curvature squared term requires introduction of an auxiliary variable. Boulware etal[1] prescribed a technique to choose such a varia…

gr-qc2001★ 47 cited

Noether and some other dynamical symmetries in Kantowski-Sachs model

Abhik Kumar Sanyal

The forms of coupling of the scalar field with gravity, appearing in the induced theory of gravity, and the potential are found in the Kantowski-Sachs model under the assumption th…

gr-qc2001★ 42 cited

Is Noether Symmetric Approach Consistent With Dynamical Equation In Non-minimal Scalar-Tensor Theories?

A. K. Sanyal, B. Modak

The form of the coupling of the scalar field with gravity and the potential have been found by applying Noether theorem to two dimensional minisuperspaces in induced gravity model.…

gr-qc2001★ 32 cited

Quantum cosmology with a curvature squared action

A. K. Sanyal, B. Modak

The correct quantum description for a curvature squared term in the action can be obtained by casting the action in the canonical form with the introduction of a variable which is…