We argue that already at classical level the energy-momentum tensor for a scalar field on manifolds with boundaries in addition to the bulk part contains a contribution located on the boundary. Using the standard variational procedure for the action with the boundary term, the expression for the surface energy-momentum tensor is derived for arbitrary bulk and boundary geometries. Integral conse...

The diagonalization of the metrical Hamiltonian of a scalar field with an arbitrary coupling with a curvature in N -dimensional homogeneous isotropic space is performed. The energy spectrum of the corresponding quasiparticles is obtained. The energies of the quasiparticles corresponding to the diagonal form of the canonical Hamiltonian are calculated. The modified energy-momentum tensor with th...

Noncommutative gauge theories can be realized by considering branes in string theory with a strong NS-NS two-form field [1]–[11]. In our previous paper [12], we derived the energy-momentum tensors of these theories by computing disk amplitudes with one closed string and an arbitrary number of open strings and by taking the Seiberg-Witten limit [10] of these amplitudes. We found that the energym...

With use of a recent variational formulation of the Maxwell-Vlasov and guiding-center theories [D. Pfirsch, Z. Naturforsch. A 39, 1 (1984)], the energy-momentum and angular momentum tensors for such theories are derived and the corresponding local conservation laws are proven. The energy-momentum tensor is shown to be symmetric in its spatial components while the angular momentum density is nat...

The search for the gravitational energy-momentum tensor is often qualified as an attempt of looking for “the right answer to the wrong question”. This position does not seem convincing to us. We think that we have found the right answer to the properly formulated question. We have further developed the field theoretical formulation of the general relativity which treats gravity as a non-linear ...

I describe how relativistic field theory generalises the defining property of material systems to possess mass to the requirement of them having a mass-energy-momentum density tensor Tμν (energy tensor for short) associated with them. I argue that according to general relativity Tμν is not an intrinsic property of matter, looking at how the energy tensor for a relativistic material system can b...

We construct a conserved, symmetric energy-momentum (pseudo-)tensor for Chern-Simons modified gravity, thus demonstrating that the theory is Lorentz invariant. The tensor is discussed in relation to other gravitational energy-momentum tensors and analyzed for the Schwarzschild, Reissner-Nordstrom, and FRW solutions. To our knowledge this is the first confirmation that the Reissner-Nordstrom and...

We construct the free field representation of the affine currents, energy-momentum tensor and screening currents of the first kind of the current superalgebra gl(m|n)k uniformly for m = n and m 6= n. The energy-momentum tensor is given by a linear combination of two Sugawara tensors associated with the two independent quadratic Casimir elements of gl(m|n). PACS: 11.25.Hf; 02.20.Tw

Using an energy-momentum tensor for spinning particles due to Dixon and Bailey-Israel, we develop the post-Newtonian approximation for N spinning particles in a self-contained manner. The equations of motion are derived directly from this energy-momentum tensor. Following the formalism of Epstein and Wagoner, we also obtain the waveform and the luminosity of the gravitational wave generated by ...