Criteria for energy conditions

Maeda, Hideki; Harada, Tomohiro

doi:10.1088/1361-6382/ac8861

Cited by 8 publications

(4 citation statements)

References 41 publications

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“…This expression appears in each and every energy condition shown above, even in the DEC, although it is not obvious, since (ρ − q) 2 − (p r − q) 2 = (ρ − p r )(ρ + p r − 2q). An in-depth review of this type of matter content can be seen in [46] and more recently [47,48]. For an extended review of the Hawking-Ellis classification see [49] and the references therein.…”

Section: Dominant Energy Condition (Dec)mentioning

confidence: 99%

Spherical warp-based bubble with non–trivial lapse function and its consequences on matter content

Abellán,

Bolívar,

Vasilev

2024

Class. Quantum Grav.

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In the present work, we study the consequences of including the lapse function as an additional degree of freedom for a general spherical warp-based geometry. By allowing a non-uniform lapse function to evolve, we find that it is possible to accommodate a fluid that includes heat flow. This broadens the range of fluid types that have been studied in these systems and is consistent with the spherical warp metric. Having added the lapse function, we solved the system of equations using an anisotropic fluid with heat flow. In this way, we can examine the different characteristics of the variables of the system. Next, we study the energy conditions and establish how these are modified by including heat flux for an appropriate generic observer in a locally flat spacetime. Finally, we explore all energy conditions using the numerical solutions and verify the regions where they are satisfied.

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Section: Dominant Energy Condition (Dec)mentioning

confidence: 99%

Spherical warp-based bubble with non–trivial lapse function and its consequences on matter content

Abellán,

Bolívar,

Vasilev

2024

Class. Quantum Grav.

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“…The cases of a 1-form field and scalar fields with arbitrary potentials are well-known in the literature (e.g. see [31,35]), the DEC and SEC are satisfied for the former while, for the latter, the validity of the conditions depends on the potential: for V ≥ 0, DEC is satisfied but SEC might be violated when V ̸ = 0 while for V ≤ 0 SEC is respected but DEC might not hold when V ̸ = 0. That is one of the reasons why there is a link between the GMN no-go theorem (which assumes a non-positive potential for the dilaton -except for the massive type IIA case) and the strong energy condition validity.…”

Section: Energy Conditions For Fields and Sourcesmentioning

confidence: 99%

The inheritance of energy conditions: Revisiting no-go theorems in string compactifications

Bernardo,

Brahma,

Faruk

2023

SciPost Phys.

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One of the fundamental challenges in string theory is to derive realistic four-dimensional cosmological backgrounds from it despite strict consistency conditions that constrain its possible low-energy backgrounds. In this work, we focus on energy conditions as covariant and background-independent consistency requirements in order to classify possible backgrounds coming from low-energy string theory in two steps. Firstly, we show how supergravity actions obey many relevant energy conditions under some reasonable assumptions. Remarkably, we find that the energy conditions are satisfied even in the presence of objects which individually violate them due to the tadpole cancellation condition. Thereafter, we list a set of conditions for a higher-dimensional energy condition to imply the corresponding lower-dimensional one, thereby categorizing the allowed low-energy solutions. As for any no-go theorem, our aim is to highlight the assumptions that must be circumvented for deriving four-dimensional spacetimes that necessarily violate these energy conditions, with emphasis on cosmological backgrounds.

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“…The cases of a 1-form field and scalar fields with arbitrary potentials are well-known in the literature (e.g. see [31,35]), the DEC and SEC are satisfied for the former while, for the latter, the validity of the conditions depends on the potential: for V ≥ 0, DEC is satisfied but SEC might be violated when V = 0 while for V ≤ 0 SEC is respected but DEC might not hold when V = 0. That is one of the reasons why there is a link between the GMN no-go theorem (which assumes a non-positive potential for the dilaton) and the strong energy condition validity.…”

Section: Energy Conditions For Fields and Sourcesmentioning

confidence: 99%

The inheritance of energy conditions: Revisiting no-go theorems in string compactifications

Bernardo¹,

Brahma²,

Faruk³

2022

Preprint

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One of the fundamental challenges in string theory is to derive realistic four-dimensional cosmological backgrounds from it and it has been recently shown that there are strict consistency conditions which must be satisfied in string compactifications, thus constraining its possible lowenergy backgrounds. In this work, we focus on energy conditions as covariant and background independent consistency requirements in order to classify possible backgrounds coming from low-energy string theory in two steps. Firstly, we show how supergravity actions typically obey many relevant energy conditions, under some reasonable assumptions. Remarkably, we find that the energy conditions are satisfied even in the presence of objects which individually violate them due to the tadpole cancellation condition. Thereafter, we list a set of conditions for a higher-dimensional energy condition to imply the corresponding lower-dimensional one, thereby categorizing the allowed low-energy solutions. As for any no-go theorem, our aim is to highlight the assumptions which must be circumvented for deriving four-dimensional spacetimes that necessarily violate these energy conditions, with emphasis on cosmological backgrounds.

show abstract

Criteria for energy conditions

Cited by 8 publications

References 41 publications

Spherical warp-based bubble with non–trivial lapse function and its consequences on matter content

Spherical warp-based bubble with non–trivial lapse function and its consequences on matter content

The inheritance of energy conditions: Revisiting no-go theorems in string compactifications

The inheritance of energy conditions: Revisiting no-go theorems in string compactifications

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