## Tags » Mathematical Physics

#### Electromagnetic 3D subsurface imaging with source sparsity for a synthetic object [IMA]

http://arxiv.org/abs/1608.06795

This paper concerns electromagnetic 3D subsurface imaging in connection with sparsity of signal sources. We explored an imaging approach that can be implemented in situations that allow obtaining a large amount of data over a surface or a set of orbits but at the same time require sparsity of the signal sources. 207 more words

Instrumentation And Methods For Astrophysics

#### Ernst formulation of axisymmetric fields in $f(R)$ gravity: applications to neutron stars and gravitational waves [CL]

http://arxiv.org/abs/1608.03021

The Ernst formulation of the Einstein equations is generalised to accommodate $f(R)$ theories of gravity. It is shown that, as in general relativity, the axisymmetric $f(R)$ field equations for a vacuum spacetime that is either stationary or cylindrically symmetric reduce to a single, non-linear differential equation for a complex-valued scalar function. 88 more words

High Energy Astrophysical Phenomena

#### Image of the Week: stars and trajectories

Image Of The Week

#### Exact power series solutions of the structure equations of the general relativistic isotropic fluid stars with linear barotropic and polytropic equations of state [CL]

http://arxiv.org/abs/1607.06877

Obtaining exact solutions of the spherically symmetric general relativistic gravitational field equations describing the interior structure of an isotropic fluid sphere is a long standing problem in theoretical and mathematical physics. 233 more words

Solar And Stellar Astrophysics

#### On dynamical systems approaches and methods in $f(R)$ cosmology [CL]

http://arxiv.org/abs/1607.05715

We discuss dynamical systems approaches and methods applied to flat Robertson-Walker models in $f(R)$-gravity. We argue that a complete description of the solution space of a model requires a global state space analysis that motivates globally covering state space adapted variables. 169 more words

Cosmology And Nongalactic Astrophysics

#### Relation between Legendre polynomial Generating function and Legendre differential equation

In the last couple of days I’ve had a little spare time, so I decided to admire a couple of mathematical tools used in the theory of Electrodynamics. 1,236 more words

Electrodynamics

#### Meet the winners of the JPhysA Best Paper Prize 2016 Part 3

Part 3: Jesper Lykke Jacobsen ‘High-precision percolation thresholds and Potts-model critical manifolds from graph polynomials’

Since 2009, the Journal of Physics A has awarded a… 523 more words

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