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We give a fully covariant energy momentum stress tensor for the gravitational field which is easily physically motivated, and which leads to a very general derivation of the Einstein equation for gravity. We do not need to assume any…

General Relativity and Quantum Cosmology · Physics 2009-03-31 Maurice J. Dupré

The consistency condition, which guarantees a well organized small-coupling asymptotic expansion for the thermodynamics of massless $\phi^4$-theory, is generalized to any desired order of the perturbative treatment. Based on a strong…

High Energy Physics - Phenomenology · Physics 2009-10-30 Jens Reinbach , Hermann Schulz

Eternal inflation is shown to require violations of the Null Energy Condition (NEC) on superhorizon scales. With light scalar fields as the matter sources in a de Sitter background, there can be no classical or semiclassical violations of…

Astrophysics · Physics 2007-05-23 Tanmay Vachaspati

Two distinct energy-momentum tensors of the theory of weak gravity and spinor quantum mechanics are analyzed with respect to their four-divergence and expectation values of energy. The first energy-momentum tensor is obtained by a…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Dalibor Javůrek

We add an initial nonhomogeneous perturbation to an otherwise homogeneous condensing tachyon background and compute its space time energy-momentum tensor from worldsheet string theory. We show that in the far future the energy-momentum…

High Energy Physics - Theory · Physics 2009-05-15 Niko Jokela , Matti Jarvinen , Esko Keski-Vakkuri

The averaged null energy condition has known violations for quantum fields in curved space, even if one considers only achronal geodesics. Many such examples involve rapid variation in the stress-energy tensor in the vicinity of the…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Douglas Urban , Ken D. Olum

Stress-based ensembles incorporating temperature-like variables have been proposed as a route to an equation of state for granular materials. To test the efficacy of this approach, we perform experiments on a two-dimensional photoelastic…

Soft Condensed Matter · Physics 2019-01-30 Ephraim S. Bililign , Jonathan E. Kollmer , Karen E. Daniels

Motivated by a desire to understand quantum fluctuation energy densities and stress within a spatially varying dielectric medium, we examine the vacuum expectation value for the stress tensor of a scalar field with arbitrary conformal…

High Energy Physics - Theory · Physics 2016-05-17 Kimball A. Milton , Stephen A. Fulling , Prachi Parashar , Pushpa Kalauni , Taylor Murphy

We show that the set of ambiguities in the renormalized expected stress-energy tensor allowed by the Wald axioms is much larger for a massive scalar field (an infinite number of free parameters) than for a massless scalar field (two free…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Wolfgang Tichy , Eanna E. Flanagan

We study the stress-energy tensor of a massless, conformally coupled, quantum scalar field in a rigidly-rotating thermal state on three- and four-dimensional anti-de Sitter space-time. We first find the stress-energy tensor using…

High Energy Physics - Theory · Physics 2025-08-08 Jacob C. Thompson , Elizabeth Winstanley

We derive the classical null energy condition, understood as a constraint on the Ricci tensor, from the second law of thermodynamics applied locally to Bekenstein-Hawking entropy associated with patches of null congruences. The derivation…

High Energy Physics - Theory · Physics 2017-05-10 Maulik Parikh , Andrew Svesko

We clarify the role of the oft-misunderstood Null Energy Condition (NEC) in the context of the current cosmological data. In particular, the NEC implies the sum of the total energy density and pressure satisfies $\rho_{tot}+P_{tot} \ge 0$;…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-12 Robert R. Caldwell , Eric V. Linder

Field theories which violate the null energy condition (NEC) are of interest for the solution of the cosmological singularity problem and for models of cosmological dark energy with the equation of state parameter $w<-1$. We discuss the…

High Energy Physics - Theory · Physics 2008-11-26 I. Ya. Aref'eva , I. V. Volovich

The first excited 2+ energy states of nuclei give many substantial information related to the nuclear structure. Including these levels, all excited states of nuclei are shown regularities in spin, parity and energy. In the even-even…

Nuclear Theory · Physics 2022-01-19 S. Akkoyun , H. Kaya , Y. Torun

The energy density and the pressure of SU(3) gauge theory at finite temperature are studied by direct lattice measurements of the renormalized energy-momentum tensor obtained by the gradient flow. Numerical analyses are carried out with…

High Energy Physics - Lattice · Physics 2017-02-15 Masakiyo Kitazawa , Takumi Iritani , Masayuki Asakawa , Tetsuo Hatsuda , Hiroshi Suzuki

The usual scenario of ``eternal inflation'' involves an approximately de Sitter spacetime undergoing upward fluctuations of the local expansion rate $H$. This spacetime requires frequent violations of the Null Energy Condition (NEC). We…

General Relativity and Quantum Cosmology · Physics 2020-07-27 Serge Winitzki

In general relativity, the energy conditions are invoked to restrict general energy-momentum tensors $T_{\mu\nu}$ in different frameworks, and to derive general results that hold in a variety of general contexts on physical grounds. We show…

Astrophysics · Physics 2008-11-26 J. Santos , J. S. Alcaniz , N. Pires , M. J. Reboucas

We consider the stress tensor in the massless Sine--Gordon model in the finite regime $\beta^2 < 4 \pi$ of the theory. We prove convergence of the renormalised perturbative series for the interacting stress tensor defined using the…

Mathematical Physics · Physics 2023-05-12 Markus B. Fröb , Daniela Cadamuro

The effective potential for the local composite operator $\phi^{2}(x)$ in $\lambda \phi^{4}$-theory is investigated at finite temperature in an approach based on path-integral linearisation of the $\phi^4 $-interaction. At zero temperature,…

High Energy Physics - Phenomenology · Physics 2009-10-22 K. Langfeld , L. v. Smekal , H. Reinhardt

Continuing a program of examining the behavior of the vacuum expectation value of the stress tensor in a background which varies only in a single direction, we here study the electromagnetic stress tensor in a medium with permittivity…

High Energy Physics - Theory · Physics 2018-06-20 Prachi Parashar , Kimball A. Milton , Yang Li , Hannah Day , Xin Guo , Stephen A. Fulling , Ines Cavero-Pelaez